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Finding the Fourth Proportional to 10,439.75, 14,406.90 and 5,724.11

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Solution

The fourth proportional to 10,439.75, 14,406.90 and 5,724.11 is: 7,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.75 : 14,406.90 = 5,724.11 : x
  2. Step 2: Convert to fraction form
    10,439.75/14,406.90 = 5,724.11/x
  3. Step 3: Cross multiply
    10,439.75x = 14,406.90 × 5,724.11
  4. Step 4: Simplify right side
    10,439.75x = 82,466,680.36
  5. Step 5: Solve for x
    x = 82,466,680.36/10,439.75
  6. Step 6: Final answer
    x = 7,899.30

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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.