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Finding the Fourth Proportional to 10,292.20, 14,203.14 and 6,042.52

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Solution

The fourth proportional to 10,292.20, 14,203.14 and 6,042.52 is: 8,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.20 : 14,203.14 = 6,042.52 : x
  2. Step 2: Convert to fraction form
    10,292.20/14,203.14 = 6,042.52/x
  3. Step 3: Cross multiply
    10,292.20x = 14,203.14 × 6,042.52
  4. Step 4: Simplify right side
    10,292.20x = 85,822,757.51
  5. Step 5: Solve for x
    x = 85,822,757.51/10,292.20
  6. Step 6: Final answer
    x = 8,338.62

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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.