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Finding the Fourth Proportional to 8,525.43, 11,760.12 and 5,872.68

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Solution

The fourth proportional to 8,525.43, 11,760.12 and 5,872.68 is: 8,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.43 : 11,760.12 = 5,872.68 : x
  2. Step 2: Convert to fraction form
    8,525.43/11,760.12 = 5,872.68/x
  3. Step 3: Cross multiply
    8,525.43x = 11,760.12 × 5,872.68
  4. Step 4: Simplify right side
    8,525.43x = 69,063,421.52
  5. Step 5: Solve for x
    x = 69,063,421.52/8,525.43
  6. Step 6: Final answer
    x = 8,100.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.