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Finding the Fourth Proportional to 8,034.78, 12,042.02 and 4,329.42

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Solution

The fourth proportional to 8,034.78, 12,042.02 and 4,329.42 is: 6,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.78 : 12,042.02 = 4,329.42 : x
  2. Step 2: Convert to fraction form
    8,034.78/12,042.02 = 4,329.42/x
  3. Step 3: Cross multiply
    8,034.78x = 12,042.02 × 4,329.42
  4. Step 4: Simplify right side
    8,034.78x = 52,134,962.23
  5. Step 5: Solve for x
    x = 52,134,962.23/8,034.78
  6. Step 6: Final answer
    x = 6,488.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.