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Finding the Fourth Proportional to 10,519.44, 14,512.28 and 6,042.17

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Solution

The fourth proportional to 10,519.44, 14,512.28 and 6,042.17 is: 8,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.44 : 14,512.28 = 6,042.17 : x
  2. Step 2: Convert to fraction form
    10,519.44/14,512.28 = 6,042.17/x
  3. Step 3: Cross multiply
    10,519.44x = 14,512.28 × 6,042.17
  4. Step 4: Simplify right side
    10,519.44x = 87,685,560.08
  5. Step 5: Solve for x
    x = 87,685,560.08/10,519.44
  6. Step 6: Final answer
    x = 8,335.57

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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.