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Finding the Fourth Proportional to 10,402.92, 14,356.08 and 5,687.28

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Solution

The fourth proportional to 10,402.92, 14,356.08 and 5,687.28 is: 7,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.92 : 14,356.08 = 5,687.28 : x
  2. Step 2: Convert to fraction form
    10,402.92/14,356.08 = 5,687.28/x
  3. Step 3: Cross multiply
    10,402.92x = 14,356.08 × 5,687.28
  4. Step 4: Simplify right side
    10,402.92x = 81,647,046.66
  5. Step 5: Solve for x
    x = 81,647,046.66/10,402.92
  6. Step 6: Final answer
    x = 7,848.47

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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.