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Finding the Fourth Proportional to 8,112.98, 12,164.92 and 2,567.72

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Solution

The fourth proportional to 8,112.98, 12,164.92 and 2,567.72 is: 3,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.98 : 12,164.92 = 2,567.72 : x
  2. Step 2: Convert to fraction form
    8,112.98/12,164.92 = 2,567.72/x
  3. Step 3: Cross multiply
    8,112.98x = 12,164.92 × 2,567.72
  4. Step 4: Simplify right side
    8,112.98x = 31,236,132.38
  5. Step 5: Solve for x
    x = 31,236,132.38/8,112.98
  6. Step 6: Final answer
    x = 3,850.14

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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.