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Finding the Fourth Proportional to 8,387, 11,574.42 and 4,661

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Solution

The fourth proportional to 8,387, 11,574.42 and 4,661 is: 6,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387 : 11,574.42 = 4,661 : x
  2. Step 2: Convert to fraction form
    8,387/11,574.42 = 4,661/x
  3. Step 3: Cross multiply
    8,387x = 11,574.42 × 4,661
  4. Step 4: Simplify right side
    8,387x = 53,948,371.62
  5. Step 5: Solve for x
    x = 53,948,371.62/8,387
  6. Step 6: Final answer
    x = 6,432.38

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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.