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Finding the Fourth Proportional to 10,229.78, 14,117.12 and 5,753.54

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Solution

The fourth proportional to 10,229.78, 14,117.12 and 5,753.54 is: 7,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.78 : 14,117.12 = 5,753.54 : x
  2. Step 2: Convert to fraction form
    10,229.78/14,117.12 = 5,753.54/x
  3. Step 3: Cross multiply
    10,229.78x = 14,117.12 × 5,753.54
  4. Step 4: Simplify right side
    10,229.78x = 81,223,385.84
  5. Step 5: Solve for x
    x = 81,223,385.84/10,229.78
  6. Step 6: Final answer
    x = 7,939.90

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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.