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Finding the Fourth Proportional to 8,462.34, 12,694.32 and 4,957.62

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Solution

The fourth proportional to 8,462.34, 12,694.32 and 4,957.62 is: 7,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.34 : 12,694.32 = 4,957.62 : x
  2. Step 2: Convert to fraction form
    8,462.34/12,694.32 = 4,957.62/x
  3. Step 3: Cross multiply
    8,462.34x = 12,694.32 × 4,957.62
  4. Step 4: Simplify right side
    8,462.34x = 62,933,614.72
  5. Step 5: Solve for x
    x = 62,933,614.72/8,462.34
  6. Step 6: Final answer
    x = 7,436.90

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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.