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Finding the Fourth Proportional to 10,027.78, 15,043.12 and 3,452.20

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Solution

The fourth proportional to 10,027.78, 15,043.12 and 3,452.20 is: 5,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.78 : 15,043.12 = 3,452.20 : x
  2. Step 2: Convert to fraction form
    10,027.78/15,043.12 = 3,452.20/x
  3. Step 3: Cross multiply
    10,027.78x = 15,043.12 × 3,452.20
  4. Step 4: Simplify right side
    10,027.78x = 51,931,897.24
  5. Step 5: Solve for x
    x = 51,931,897.24/10,027.78
  6. Step 6: Final answer
    x = 5,178.80

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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.