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Finding the Fourth Proportional to 8,521, 12,760.12 and 5,391.60

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Solution

The fourth proportional to 8,521, 12,760.12 and 5,391.60 is: 8,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521 : 12,760.12 = 5,391.60 : x
  2. Step 2: Convert to fraction form
    8,521/12,760.12 = 5,391.60/x
  3. Step 3: Cross multiply
    8,521x = 12,760.12 × 5,391.60
  4. Step 4: Simplify right side
    8,521x = 68,797,462.99
  5. Step 5: Solve for x
    x = 68,797,462.99/8,521
  6. Step 6: Final answer
    x = 8,073.87

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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.