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Finding the Fourth Proportional to 7,892.66, 10,891.74 and 4,355.78

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Solution

The fourth proportional to 7,892.66, 10,891.74 and 4,355.78 is: 6,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.66 : 10,891.74 = 4,355.78 : x
  2. Step 2: Convert to fraction form
    7,892.66/10,891.74 = 4,355.78/x
  3. Step 3: Cross multiply
    7,892.66x = 10,891.74 × 4,355.78
  4. Step 4: Simplify right side
    7,892.66x = 47,442,023.26
  5. Step 5: Solve for x
    x = 47,442,023.26/7,892.66
  6. Step 6: Final answer
    x = 6,010.90

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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.