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Finding the Fourth Proportional to 8,755.62, 12,082.35 and 4,978.70

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Solution

The fourth proportional to 8,755.62, 12,082.35 and 4,978.70 is: 6,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,755.62 : 12,082.35 = 4,978.70 : x
  2. Step 2: Convert to fraction form
    8,755.62/12,082.35 = 4,978.70/x
  3. Step 3: Cross multiply
    8,755.62x = 12,082.35 × 4,978.70
  4. Step 4: Simplify right side
    8,755.62x = 60,154,395.95
  5. Step 5: Solve for x
    x = 60,154,395.95/8,755.62
  6. Step 6: Final answer
    x = 6,870.38

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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.