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Finding the Fourth Proportional to 8,031.37, 12,044.74 and 2,766.16

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Solution

The fourth proportional to 8,031.37, 12,044.74 and 2,766.16 is: 4,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.37 : 12,044.74 = 2,766.16 : x
  2. Step 2: Convert to fraction form
    8,031.37/12,044.74 = 2,766.16/x
  3. Step 3: Cross multiply
    8,031.37x = 12,044.74 × 2,766.16
  4. Step 4: Simplify right side
    8,031.37x = 33,317,694.28
  5. Step 5: Solve for x
    x = 33,317,694.28/8,031.37
  6. Step 6: Final answer
    x = 4,148.45

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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.