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Finding the Fourth Proportional to 8,084.88, 12,126.84 and 4,755

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Solution

The fourth proportional to 8,084.88, 12,126.84 and 4,755 is: 7,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.88 : 12,126.84 = 4,755 : x
  2. Step 2: Convert to fraction form
    8,084.88/12,126.84 = 4,755/x
  3. Step 3: Cross multiply
    8,084.88x = 12,126.84 × 4,755
  4. Step 4: Simplify right side
    8,084.88x = 57,663,124.20
  5. Step 5: Solve for x
    x = 57,663,124.20/8,084.88
  6. Step 6: Final answer
    x = 7,132.22

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Why These Related Problems?

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