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Finding the Fourth Proportional to 10,179.92, 15,269.15 and 3,159.76

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Solution

The fourth proportional to 10,179.92, 15,269.15 and 3,159.76 is: 4,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.92 : 15,269.15 = 3,159.76 : x
  2. Step 2: Convert to fraction form
    10,179.92/15,269.15 = 3,159.76/x
  3. Step 3: Cross multiply
    10,179.92x = 15,269.15 × 3,159.76
  4. Step 4: Simplify right side
    10,179.92x = 48,246,864.54
  5. Step 5: Solve for x
    x = 48,246,864.54/10,179.92
  6. Step 6: Final answer
    x = 4,739.42

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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.