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Finding the Fourth Proportional to 10,468.71, 14,446.80 and 5,753.07

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Solution

The fourth proportional to 10,468.71, 14,446.80 and 5,753.07 is: 7,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.71 : 14,446.80 = 5,753.07 : x
  2. Step 2: Convert to fraction form
    10,468.71/14,446.80 = 5,753.07/x
  3. Step 3: Cross multiply
    10,468.71x = 14,446.80 × 5,753.07
  4. Step 4: Simplify right side
    10,468.71x = 83,113,451.68
  5. Step 5: Solve for x
    x = 83,113,451.68/10,468.71
  6. Step 6: Final answer
    x = 7,939.23

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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.