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Finding the Fourth Proportional to 8,062.42, 12,098.25 and 3,131.42

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Solution

The fourth proportional to 8,062.42, 12,098.25 and 3,131.42 is: 4,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.42 : 12,098.25 = 3,131.42 : x
  2. Step 2: Convert to fraction form
    8,062.42/12,098.25 = 3,131.42/x
  3. Step 3: Cross multiply
    8,062.42x = 12,098.25 × 3,131.42
  4. Step 4: Simplify right side
    8,062.42x = 37,884,720.52
  5. Step 5: Solve for x
    x = 37,884,720.52/8,062.42
  6. Step 6: Final answer
    x = 4,698.93

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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.