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Finding the Fourth Proportional to 10,040.76, 15,027.12 and 6,147.90

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Solution

The fourth proportional to 10,040.76, 15,027.12 and 6,147.90 is: 9,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.76 : 15,027.12 = 6,147.90 : x
  2. Step 2: Convert to fraction form
    10,040.76/15,027.12 = 6,147.90/x
  3. Step 3: Cross multiply
    10,040.76x = 15,027.12 × 6,147.90
  4. Step 4: Simplify right side
    10,040.76x = 92,385,231.05
  5. Step 5: Solve for x
    x = 92,385,231.05/10,040.76
  6. Step 6: Final answer
    x = 9,201.02

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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.