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Finding the Fourth Proportional to 8,648.37, 12,951.29 and 5,519.14

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Solution

The fourth proportional to 8,648.37, 12,951.29 and 5,519.14 is: 8,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.37 : 12,951.29 = 5,519.14 : x
  2. Step 2: Convert to fraction form
    8,648.37/12,951.29 = 5,519.14/x
  3. Step 3: Cross multiply
    8,648.37x = 12,951.29 × 5,519.14
  4. Step 4: Simplify right side
    8,648.37x = 71,479,964.11
  5. Step 5: Solve for x
    x = 71,479,964.11/8,648.37
  6. Step 6: Final answer
    x = 8,265.14

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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.