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Finding the Fourth Proportional to 7,892.32, 10,891.38 and 4,355.74

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Solution

The fourth proportional to 7,892.32, 10,891.38 and 4,355.74 is: 6,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.32 : 10,891.38 = 4,355.74 : x
  2. Step 2: Convert to fraction form
    7,892.32/10,891.38 = 4,355.74/x
  3. Step 3: Cross multiply
    7,892.32x = 10,891.38 × 4,355.74
  4. Step 4: Simplify right side
    7,892.32x = 47,440,019.52
  5. Step 5: Solve for x
    x = 47,440,019.52/7,892.32
  6. Step 6: Final answer
    x = 6,010.91

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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.