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Finding the Fourth Proportional to 10,133.74, 15,179.42 and 8,148.63

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Solution

The fourth proportional to 10,133.74, 15,179.42 and 8,148.63 is: 12,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.74 : 15,179.42 = 8,148.63 : x
  2. Step 2: Convert to fraction form
    10,133.74/15,179.42 = 8,148.63/x
  3. Step 3: Cross multiply
    10,133.74x = 15,179.42 × 8,148.63
  4. Step 4: Simplify right side
    10,133.74x = 123,691,508.65
  5. Step 5: Solve for x
    x = 123,691,508.65/10,133.74
  6. Step 6: Final answer
    x = 12,205.91

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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.