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Finding the Fourth Proportional to 7,591.62, 10,476.49 and 4,234.65

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Solution

The fourth proportional to 7,591.62, 10,476.49 and 4,234.65 is: 5,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.62 : 10,476.49 = 4,234.65 : x
  2. Step 2: Convert to fraction form
    7,591.62/10,476.49 = 4,234.65/x
  3. Step 3: Cross multiply
    7,591.62x = 10,476.49 × 4,234.65
  4. Step 4: Simplify right side
    7,591.62x = 44,364,268.38
  5. Step 5: Solve for x
    x = 44,364,268.38/7,591.62
  6. Step 6: Final answer
    x = 5,843.85

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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.