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Finding the Fourth Proportional to 10,042.82, 13,841.78 and 6,679.62

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Solution

The fourth proportional to 10,042.82, 13,841.78 and 6,679.62 is: 9,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.82 : 13,841.78 = 6,679.62 : x
  2. Step 2: Convert to fraction form
    10,042.82/13,841.78 = 6,679.62/x
  3. Step 3: Cross multiply
    10,042.82x = 13,841.78 × 6,679.62
  4. Step 4: Simplify right side
    10,042.82x = 92,457,830.52
  5. Step 5: Solve for x
    x = 92,457,830.52/10,042.82
  6. Step 6: Final answer
    x = 9,206.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.