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Finding the Fourth Proportional to 8,106.38, 11,186.80 and 4,380.38

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Solution

The fourth proportional to 8,106.38, 11,186.80 and 4,380.38 is: 6,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.38 : 11,186.80 = 4,380.38 : x
  2. Step 2: Convert to fraction form
    8,106.38/11,186.80 = 4,380.38/x
  3. Step 3: Cross multiply
    8,106.38x = 11,186.80 × 4,380.38
  4. Step 4: Simplify right side
    8,106.38x = 49,002,368.10
  5. Step 5: Solve for x
    x = 49,002,368.10/8,106.38
  6. Step 6: Final answer
    x = 6,044.92

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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.