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Finding the Fourth Proportional to 10,440.76, 14,407.50 and 5,724.28

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Solution

The fourth proportional to 10,440.76, 14,407.50 and 5,724.28 is: 7,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.76 : 14,407.50 = 5,724.28 : x
  2. Step 2: Convert to fraction form
    10,440.76/14,407.50 = 5,724.28/x
  3. Step 3: Cross multiply
    10,440.76x = 14,407.50 × 5,724.28
  4. Step 4: Simplify right side
    10,440.76x = 82,472,564.10
  5. Step 5: Solve for x
    x = 82,472,564.10/10,440.76
  6. Step 6: Final answer
    x = 7,899.10

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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.