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Finding the Fourth Proportional to 10,377.48, 15,542.76 and 8,020.92

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Solution

The fourth proportional to 10,377.48, 15,542.76 and 8,020.92 is: 12,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.48 : 15,542.76 = 8,020.92 : x
  2. Step 2: Convert to fraction form
    10,377.48/15,542.76 = 8,020.92/x
  3. Step 3: Cross multiply
    10,377.48x = 15,542.76 × 8,020.92
  4. Step 4: Simplify right side
    10,377.48x = 124,667,234.54
  5. Step 5: Solve for x
    x = 124,667,234.54/10,377.48
  6. Step 6: Final answer
    x = 12,013.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.