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Finding the Fourth Proportional to 10,444.97, 14,414.02 and 5,729.15

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Solution

The fourth proportional to 10,444.97, 14,414.02 and 5,729.15 is: 7,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.97 : 14,414.02 = 5,729.15 : x
  2. Step 2: Convert to fraction form
    10,444.97/14,414.02 = 5,729.15/x
  3. Step 3: Cross multiply
    10,444.97x = 14,414.02 × 5,729.15
  4. Step 4: Simplify right side
    10,444.97x = 82,580,104.40
  5. Step 5: Solve for x
    x = 82,580,104.40/10,444.97
  6. Step 6: Final answer
    x = 7,906.21

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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.