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Finding the Fourth Proportional to 10,291.62, 15,458.10 and 6,139.73

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Solution

The fourth proportional to 10,291.62, 15,458.10 and 6,139.73 is: 9,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.62 : 15,458.10 = 6,139.73 : x
  2. Step 2: Convert to fraction form
    10,291.62/15,458.10 = 6,139.73/x
  3. Step 3: Cross multiply
    10,291.62x = 15,458.10 × 6,139.73
  4. Step 4: Simplify right side
    10,291.62x = 94,908,560.31
  5. Step 5: Solve for x
    x = 94,908,560.31/10,291.62
  6. Step 6: Final answer
    x = 9,221.93

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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.