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Finding the Fourth Proportional to 10,042.86, 13,855.59 and 6,006.90

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Solution

The fourth proportional to 10,042.86, 13,855.59 and 6,006.90 is: 8,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.86 : 13,855.59 = 6,006.90 : x
  2. Step 2: Convert to fraction form
    10,042.86/13,855.59 = 6,006.90/x
  3. Step 3: Cross multiply
    10,042.86x = 13,855.59 × 6,006.90
  4. Step 4: Simplify right side
    10,042.86x = 83,229,143.57
  5. Step 5: Solve for x
    x = 83,229,143.57/10,042.86
  6. Step 6: Final answer
    x = 8,287.39

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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.