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Finding the Fourth Proportional to 8,261.74, 12,400.11 and 5,147.80

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Solution

The fourth proportional to 8,261.74, 12,400.11 and 5,147.80 is: 7,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.74 : 12,400.11 = 5,147.80 : x
  2. Step 2: Convert to fraction form
    8,261.74/12,400.11 = 5,147.80/x
  3. Step 3: Cross multiply
    8,261.74x = 12,400.11 × 5,147.80
  4. Step 4: Simplify right side
    8,261.74x = 63,833,286.26
  5. Step 5: Solve for x
    x = 63,833,286.26/8,261.74
  6. Step 6: Final answer
    x = 7,726.37

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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.