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Finding the Fourth Proportional to 8,757, 12,084.88 and 4,778.48

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Solution

The fourth proportional to 8,757, 12,084.88 and 4,778.48 is: 6,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757 : 12,084.88 = 4,778.48 : x
  2. Step 2: Convert to fraction form
    8,757/12,084.88 = 4,778.48/x
  3. Step 3: Cross multiply
    8,757x = 12,084.88 × 4,778.48
  4. Step 4: Simplify right side
    8,757x = 57,747,357.38
  5. Step 5: Solve for x
    x = 57,747,357.38/8,757
  6. Step 6: Final answer
    x = 6,594.42

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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.