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Finding the Fourth Proportional to 8,283.91, 11,432.11 and 4,747.80

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Solution

The fourth proportional to 8,283.91, 11,432.11 and 4,747.80 is: 6,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.91 : 11,432.11 = 4,747.80 : x
  2. Step 2: Convert to fraction form
    8,283.91/11,432.11 = 4,747.80/x
  3. Step 3: Cross multiply
    8,283.91x = 11,432.11 × 4,747.80
  4. Step 4: Simplify right side
    8,283.91x = 54,277,348.12
  5. Step 5: Solve for x
    x = 54,277,348.12/8,283.91
  6. Step 6: Final answer
    x = 6,552.15

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