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Finding the Fourth Proportional to 10,017.46, 15,027.20 and 3,442.78

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Solution

The fourth proportional to 10,017.46, 15,027.20 and 3,442.78 is: 5,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.46 : 15,027.20 = 3,442.78 : x
  2. Step 2: Convert to fraction form
    10,017.46/15,027.20 = 3,442.78/x
  3. Step 3: Cross multiply
    10,017.46x = 15,027.20 × 3,442.78
  4. Step 4: Simplify right side
    10,017.46x = 51,735,343.62
  5. Step 5: Solve for x
    x = 51,735,343.62/10,017.46
  6. Step 6: Final answer
    x = 5,164.52

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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.