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Finding the Fourth Proportional to 8,084.91, 12,126.87 and 4,755

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Solution

The fourth proportional to 8,084.91, 12,126.87 and 4,755 is: 7,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.91 : 12,126.87 = 4,755 : x
  2. Step 2: Convert to fraction form
    8,084.91/12,126.87 = 4,755/x
  3. Step 3: Cross multiply
    8,084.91x = 12,126.87 × 4,755
  4. Step 4: Simplify right side
    8,084.91x = 57,663,266.85
  5. Step 5: Solve for x
    x = 57,663,266.85/8,084.91
  6. Step 6: Final answer
    x = 7,132.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.