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Finding the Fourth Proportional to 10,878.38, 15,012.77 and 6,164.18

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Solution

The fourth proportional to 10,878.38, 15,012.77 and 6,164.18 is: 8,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.38 : 15,012.77 = 6,164.18 : x
  2. Step 2: Convert to fraction form
    10,878.38/15,012.77 = 6,164.18/x
  3. Step 3: Cross multiply
    10,878.38x = 15,012.77 × 6,164.18
  4. Step 4: Simplify right side
    10,878.38x = 92,541,310.69
  5. Step 5: Solve for x
    x = 92,541,310.69/10,878.38
  6. Step 6: Final answer
    x = 8,506.91

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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.