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Finding the Fourth Proportional to 8,769.38, 12,102.55 and 4,992.71

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Solution

The fourth proportional to 8,769.38, 12,102.55 and 4,992.71 is: 6,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.38 : 12,102.55 = 4,992.71 : x
  2. Step 2: Convert to fraction form
    8,769.38/12,102.55 = 4,992.71/x
  3. Step 3: Cross multiply
    8,769.38x = 12,102.55 × 4,992.71
  4. Step 4: Simplify right side
    8,769.38x = 60,424,449.42
  5. Step 5: Solve for x
    x = 60,424,449.42/8,769.38
  6. Step 6: Final answer
    x = 6,890.39

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Why These Related Problems?

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