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Finding the Fourth Proportional to 8,031.12, 12,046.84 and 2,187.88

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Solution

The fourth proportional to 8,031.12, 12,046.84 and 2,187.88 is: 3,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.12 : 12,046.84 = 2,187.88 : x
  2. Step 2: Convert to fraction form
    8,031.12/12,046.84 = 2,187.88/x
  3. Step 3: Cross multiply
    8,031.12x = 12,046.84 × 2,187.88
  4. Step 4: Simplify right side
    8,031.12x = 26,357,040.30
  5. Step 5: Solve for x
    x = 26,357,040.30/8,031.12
  6. Step 6: Final answer
    x = 3,281.86

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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.