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Finding the Fourth Proportional to 7,591.17, 10,476 and 4,234.26

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Solution

The fourth proportional to 7,591.17, 10,476 and 4,234.26 is: 5,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.17 : 10,476 = 4,234.26 : x
  2. Step 2: Convert to fraction form
    7,591.17/10,476 = 4,234.26/x
  3. Step 3: Cross multiply
    7,591.17x = 10,476 × 4,234.26
  4. Step 4: Simplify right side
    7,591.17x = 44,358,107.76
  5. Step 5: Solve for x
    x = 44,358,107.76/7,591.17
  6. Step 6: Final answer
    x = 5,843.38

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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.