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Finding the Fourth Proportional to 10,895,384.40, 16,318,193.40 and 6,416,408.40

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Solution

The fourth proportional to 10,895,384.40, 16,318,193.40 and 6,416,408.40 is: 9,609,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895,384.40 : 16,318,193.40 = 6,416,408.40 : x
  2. Step 2: Convert to fraction form
    10,895,384.40/16,318,193.40 = 6,416,408.40/x
  3. Step 3: Cross multiply
    10,895,384.40x = 16,318,193.40 × 6,416,408.40
  4. Step 4: Simplify right side
    10,895,384.40x = 104,704,193,204,584.56
  5. Step 5: Solve for x
    x = 104,704,193,204,584.56/10,895,384.40
  6. Step 6: Final answer
    x = 9,609,958.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.