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Finding the Fourth Proportional to 8,031.71, 12,046.34 and 2,188.77

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Solution

The fourth proportional to 8,031.71, 12,046.34 and 2,188.77 is: 3,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.71 : 12,046.34 = 2,188.77 : x
  2. Step 2: Convert to fraction form
    8,031.71/12,046.34 = 2,188.77/x
  3. Step 3: Cross multiply
    8,031.71x = 12,046.34 × 2,188.77
  4. Step 4: Simplify right side
    8,031.71x = 26,366,656.66
  5. Step 5: Solve for x
    x = 26,366,656.66/8,031.71
  6. Step 6: Final answer
    x = 3,282.82

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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.