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Finding the Fourth Proportional to 10,635.96, 14,675.40 and 6,443.40

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Solution

The fourth proportional to 10,635.96, 14,675.40 and 6,443.40 is: 8,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.96 : 14,675.40 = 6,443.40 : x
  2. Step 2: Convert to fraction form
    10,635.96/14,675.40 = 6,443.40/x
  3. Step 3: Cross multiply
    10,635.96x = 14,675.40 × 6,443.40
  4. Step 4: Simplify right side
    10,635.96x = 94,559,472.36
  5. Step 5: Solve for x
    x = 94,559,472.36/10,635.96
  6. Step 6: Final answer
    x = 8,890.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.