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Finding the Fourth Proportional to 8,392.92, 12,582.54 and 4,691.42

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Solution

The fourth proportional to 8,392.92, 12,582.54 and 4,691.42 is: 7,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.92 : 12,582.54 = 4,691.42 : x
  2. Step 2: Convert to fraction form
    8,392.92/12,582.54 = 4,691.42/x
  3. Step 3: Cross multiply
    8,392.92x = 12,582.54 × 4,691.42
  4. Step 4: Simplify right side
    8,392.92x = 59,029,964.08
  5. Step 5: Solve for x
    x = 59,029,964.08/8,392.92
  6. Step 6: Final answer
    x = 7,033.31

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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.