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Finding the Fourth Proportional to 10,286.46, 15,355.17 and 9,040.82

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Solution

The fourth proportional to 10,286.46, 15,355.17 and 9,040.82 is: 13,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.46 : 15,355.17 = 9,040.82 : x
  2. Step 2: Convert to fraction form
    10,286.46/15,355.17 = 9,040.82/x
  3. Step 3: Cross multiply
    10,286.46x = 15,355.17 × 9,040.82
  4. Step 4: Simplify right side
    10,286.46x = 138,823,251.26
  5. Step 5: Solve for x
    x = 138,823,251.26/10,286.46
  6. Step 6: Final answer
    x = 13,495.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.