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Finding the Fourth Proportional to 8,878.43, 12,252.65 and 5,102.82

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Solution

The fourth proportional to 8,878.43, 12,252.65 and 5,102.82 is: 7,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,878.43 : 12,252.65 = 5,102.82 : x
  2. Step 2: Convert to fraction form
    8,878.43/12,252.65 = 5,102.82/x
  3. Step 3: Cross multiply
    8,878.43x = 12,252.65 × 5,102.82
  4. Step 4: Simplify right side
    8,878.43x = 62,523,041.96
  5. Step 5: Solve for x
    x = 62,523,041.96/8,878.43
  6. Step 6: Final answer
    x = 7,042.13

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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.