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Finding the Fourth Proportional to 6,939.16, 10,402.68 and 3,042.28

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Solution

The fourth proportional to 6,939.16, 10,402.68 and 3,042.28 is: 4,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.16 : 10,402.68 = 3,042.28 : x
  2. Step 2: Convert to fraction form
    6,939.16/10,402.68 = 3,042.28/x
  3. Step 3: Cross multiply
    6,939.16x = 10,402.68 × 3,042.28
  4. Step 4: Simplify right side
    6,939.16x = 31,647,865.31
  5. Step 5: Solve for x
    x = 31,647,865.31/6,939.16
  6. Step 6: Final answer
    x = 4,560.76

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