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Finding the Fourth Proportional to 10,439.97, 14,407.14 and 5,724.56

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Solution

The fourth proportional to 10,439.97, 14,407.14 and 5,724.56 is: 7,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.97 : 14,407.14 = 5,724.56 : x
  2. Step 2: Convert to fraction form
    10,439.97/14,407.14 = 5,724.56/x
  3. Step 3: Cross multiply
    10,439.97x = 14,407.14 × 5,724.56
  4. Step 4: Simplify right side
    10,439.97x = 82,474,465.32
  5. Step 5: Solve for x
    x = 82,474,465.32/10,439.97
  6. Step 6: Final answer
    x = 7,899.88

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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.