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Finding the Fourth Proportional to 11,143.38, 15,377.86 and 6,175.38

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Solution

The fourth proportional to 11,143.38, 15,377.86 and 6,175.38 is: 8,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.38 : 15,377.86 = 6,175.38 : x
  2. Step 2: Convert to fraction form
    11,143.38/15,377.86 = 6,175.38/x
  3. Step 3: Cross multiply
    11,143.38x = 15,377.86 × 6,175.38
  4. Step 4: Simplify right side
    11,143.38x = 94,964,129.09
  5. Step 5: Solve for x
    x = 94,964,129.09/11,143.38
  6. Step 6: Final answer
    x = 8,522.02

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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.