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Finding the Fourth Proportional to 8,462.56, 12,687.12 and 3,840.16

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Solution

The fourth proportional to 8,462.56, 12,687.12 and 3,840.16 is: 5,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.56 : 12,687.12 = 3,840.16 : x
  2. Step 2: Convert to fraction form
    8,462.56/12,687.12 = 3,840.16/x
  3. Step 3: Cross multiply
    8,462.56x = 12,687.12 × 3,840.16
  4. Step 4: Simplify right side
    8,462.56x = 48,720,570.74
  5. Step 5: Solve for x
    x = 48,720,570.74/8,462.56
  6. Step 6: Final answer
    x = 5,757.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.