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Finding the Fourth Proportional to 10,200.71, 14,076.99 and 5,724.47

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Solution

The fourth proportional to 10,200.71, 14,076.99 and 5,724.47 is: 7,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.71 : 14,076.99 = 5,724.47 : x
  2. Step 2: Convert to fraction form
    10,200.71/14,076.99 = 5,724.47/x
  3. Step 3: Cross multiply
    10,200.71x = 14,076.99 × 5,724.47
  4. Step 4: Simplify right side
    10,200.71x = 80,583,306.95
  5. Step 5: Solve for x
    x = 80,583,306.95/10,200.71
  6. Step 6: Final answer
    x = 7,899.77

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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.