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Finding the Fourth Proportional to 7,147.88, 10,709.97 and 5,057.52

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Solution

The fourth proportional to 7,147.88, 10,709.97 and 5,057.52 is: 7,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.88 : 10,709.97 = 5,057.52 : x
  2. Step 2: Convert to fraction form
    7,147.88/10,709.97 = 5,057.52/x
  3. Step 3: Cross multiply
    7,147.88x = 10,709.97 × 5,057.52
  4. Step 4: Simplify right side
    7,147.88x = 54,165,887.47
  5. Step 5: Solve for x
    x = 54,165,887.47/7,147.88
  6. Step 6: Final answer
    x = 7,577.90

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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.