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Finding the Fourth Proportional to 8,098.11, 11,171.58 and 4,738.87

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Solution

The fourth proportional to 8,098.11, 11,171.58 and 4,738.87 is: 6,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.11 : 11,171.58 = 4,738.87 : x
  2. Step 2: Convert to fraction form
    8,098.11/11,171.58 = 4,738.87/x
  3. Step 3: Cross multiply
    8,098.11x = 11,171.58 × 4,738.87
  4. Step 4: Simplify right side
    8,098.11x = 52,940,591.69
  5. Step 5: Solve for x
    x = 52,940,591.69/8,098.11
  6. Step 6: Final answer
    x = 6,537.40

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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.