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Finding the Fourth Proportional to 10,166.73, 15,248.71 and 3,151.58

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Solution

The fourth proportional to 10,166.73, 15,248.71 and 3,151.58 is: 4,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.73 : 15,248.71 = 3,151.58 : x
  2. Step 2: Convert to fraction form
    10,166.73/15,248.71 = 3,151.58/x
  3. Step 3: Cross multiply
    10,166.73x = 15,248.71 × 3,151.58
  4. Step 4: Simplify right side
    10,166.73x = 48,057,439.43
  5. Step 5: Solve for x
    x = 48,057,439.43/10,166.73
  6. Step 6: Final answer
    x = 4,726.93

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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.