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Finding the Fourth Proportional to 10,098.88, 15,149.04 and 3,178.24

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Solution

The fourth proportional to 10,098.88, 15,149.04 and 3,178.24 is: 4,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.88 : 15,149.04 = 3,178.24 : x
  2. Step 2: Convert to fraction form
    10,098.88/15,149.04 = 3,178.24/x
  3. Step 3: Cross multiply
    10,098.88x = 15,149.04 × 3,178.24
  4. Step 4: Simplify right side
    10,098.88x = 48,147,284.89
  5. Step 5: Solve for x
    x = 48,147,284.89/10,098.88
  6. Step 6: Final answer
    x = 4,767.59

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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.