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Finding the Fourth Proportional to 10,027.72, 15,043.20 and 3,453.76

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Solution

The fourth proportional to 10,027.72, 15,043.20 and 3,453.76 is: 5,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.72 : 15,043.20 = 3,453.76 : x
  2. Step 2: Convert to fraction form
    10,027.72/15,043.20 = 3,453.76/x
  3. Step 3: Cross multiply
    10,027.72x = 15,043.20 × 3,453.76
  4. Step 4: Simplify right side
    10,027.72x = 51,955,602.43
  5. Step 5: Solve for x
    x = 51,955,602.43/10,027.72
  6. Step 6: Final answer
    x = 5,181.20

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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.