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Finding the Fourth Proportional to 10,098.80, 15,148.20 and 3,942.80

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Solution

The fourth proportional to 10,098.80, 15,148.20 and 3,942.80 is: 5,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.80 : 15,148.20 = 3,942.80 : x
  2. Step 2: Convert to fraction form
    10,098.80/15,148.20 = 3,942.80/x
  3. Step 3: Cross multiply
    10,098.80x = 15,148.20 × 3,942.80
  4. Step 4: Simplify right side
    10,098.80x = 59,726,322.96
  5. Step 5: Solve for x
    x = 59,726,322.96/10,098.80
  6. Step 6: Final answer
    x = 5,914.20

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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.