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Finding the Fourth Proportional to 10,338.46, 15,512.80 and 4,098.33

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Solution

The fourth proportional to 10,338.46, 15,512.80 and 4,098.33 is: 6,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.46 : 15,512.80 = 4,098.33 : x
  2. Step 2: Convert to fraction form
    10,338.46/15,512.80 = 4,098.33/x
  3. Step 3: Cross multiply
    10,338.46x = 15,512.80 × 4,098.33
  4. Step 4: Simplify right side
    10,338.46x = 63,576,573.62
  5. Step 5: Solve for x
    x = 63,576,573.62/10,338.46
  6. Step 6: Final answer
    x = 6,149.52

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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.