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Finding the Fourth Proportional to 10,874.85, 16,314.29 and 5,031.44

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Solution

The fourth proportional to 10,874.85, 16,314.29 and 5,031.44 is: 7,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.85 : 16,314.29 = 5,031.44 : x
  2. Step 2: Convert to fraction form
    10,874.85/16,314.29 = 5,031.44/x
  3. Step 3: Cross multiply
    10,874.85x = 16,314.29 × 5,031.44
  4. Step 4: Simplify right side
    10,874.85x = 82,084,371.28
  5. Step 5: Solve for x
    x = 82,084,371.28/10,874.85
  6. Step 6: Final answer
    x = 7,548.09

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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.