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Finding the Fourth Proportional to 8,031.69, 12,046.62 and 2,188.76

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Solution

The fourth proportional to 8,031.69, 12,046.62 and 2,188.76 is: 3,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.69 : 12,046.62 = 2,188.76 : x
  2. Step 2: Convert to fraction form
    8,031.69/12,046.62 = 2,188.76/x
  3. Step 3: Cross multiply
    8,031.69x = 12,046.62 × 2,188.76
  4. Step 4: Simplify right side
    8,031.69x = 26,367,107.97
  5. Step 5: Solve for x
    x = 26,367,107.97/8,031.69
  6. Step 6: Final answer
    x = 3,282.88

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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.