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Finding the Fourth Proportional to 10,270.97, 15,406.41 and 3,697.15

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Solution

The fourth proportional to 10,270.97, 15,406.41 and 3,697.15 is: 5,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.97 : 15,406.41 = 3,697.15 : x
  2. Step 2: Convert to fraction form
    10,270.97/15,406.41 = 3,697.15/x
  3. Step 3: Cross multiply
    10,270.97x = 15,406.41 × 3,697.15
  4. Step 4: Simplify right side
    10,270.97x = 56,959,808.73
  5. Step 5: Solve for x
    x = 56,959,808.73/10,270.97
  6. Step 6: Final answer
    x = 5,545.71

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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.