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Finding the Fourth Proportional to 8,031.24, 12,044.08 and 3,814

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Solution

The fourth proportional to 8,031.24, 12,044.08 and 3,814 is: 5,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.24 : 12,044.08 = 3,814 : x
  2. Step 2: Convert to fraction form
    8,031.24/12,044.08 = 3,814/x
  3. Step 3: Cross multiply
    8,031.24x = 12,044.08 × 3,814
  4. Step 4: Simplify right side
    8,031.24x = 45,936,121.12
  5. Step 5: Solve for x
    x = 45,936,121.12/8,031.24
  6. Step 6: Final answer
    x = 5,719.68

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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.