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Finding the Fourth Proportional to 8,098.77, 11,176.38 and 4,743.57

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Solution

The fourth proportional to 8,098.77, 11,176.38 and 4,743.57 is: 6,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.77 : 11,176.38 = 4,743.57 : x
  2. Step 2: Convert to fraction form
    8,098.77/11,176.38 = 4,743.57/x
  3. Step 3: Cross multiply
    8,098.77x = 11,176.38 × 4,743.57
  4. Step 4: Simplify right side
    8,098.77x = 53,015,940.88
  5. Step 5: Solve for x
    x = 53,015,940.88/8,098.77
  6. Step 6: Final answer
    x = 6,546.17

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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.