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Finding the Fourth Proportional to 10,839.43, 16,242.13 and 6,454.50

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Solution

The fourth proportional to 10,839.43, 16,242.13 and 6,454.50 is: 9,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.43 : 16,242.13 = 6,454.50 : x
  2. Step 2: Convert to fraction form
    10,839.43/16,242.13 = 6,454.50/x
  3. Step 3: Cross multiply
    10,839.43x = 16,242.13 × 6,454.50
  4. Step 4: Simplify right side
    10,839.43x = 104,834,828.09
  5. Step 5: Solve for x
    x = 104,834,828.09/10,839.43
  6. Step 6: Final answer
    x = 9,671.62

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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.