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Finding the Fourth Proportional to 10,909.89, 16,352.58 and 4,666.74

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Solution

The fourth proportional to 10,909.89, 16,352.58 and 4,666.74 is: 6,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.89 : 16,352.58 = 4,666.74 : x
  2. Step 2: Convert to fraction form
    10,909.89/16,352.58 = 4,666.74/x
  3. Step 3: Cross multiply
    10,909.89x = 16,352.58 × 4,666.74
  4. Step 4: Simplify right side
    10,909.89x = 76,313,239.19
  5. Step 5: Solve for x
    x = 76,313,239.19/10,909.89
  6. Step 6: Final answer
    x = 6,994.87

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