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Finding the Fourth Proportional to 8,031.64, 12,046.36 and 2,488.80

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Solution

The fourth proportional to 8,031.64, 12,046.36 and 2,488.80 is: 3,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.64 : 12,046.36 = 2,488.80 : x
  2. Step 2: Convert to fraction form
    8,031.64/12,046.36 = 2,488.80/x
  3. Step 3: Cross multiply
    8,031.64x = 12,046.36 × 2,488.80
  4. Step 4: Simplify right side
    8,031.64x = 29,980,980.77
  5. Step 5: Solve for x
    x = 29,980,980.77/8,031.64
  6. Step 6: Final answer
    x = 3,732.86

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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.