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Finding the Fourth Proportional to 8,462.96, 12,697.48 and 3,782.58

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Solution

The fourth proportional to 8,462.96, 12,697.48 and 3,782.58 is: 5,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.96 : 12,697.48 = 3,782.58 : x
  2. Step 2: Convert to fraction form
    8,462.96/12,697.48 = 3,782.58/x
  3. Step 3: Cross multiply
    8,462.96x = 12,697.48 × 3,782.58
  4. Step 4: Simplify right side
    8,462.96x = 48,029,233.90
  5. Step 5: Solve for x
    x = 48,029,233.90/8,462.96
  6. Step 6: Final answer
    x = 5,675.23

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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.