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Finding the Fourth Proportional to 7,872.80, 10,863.32 and 5,042.66

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Solution

The fourth proportional to 7,872.80, 10,863.32 and 5,042.66 is: 6,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.80 : 10,863.32 = 5,042.66 : x
  2. Step 2: Convert to fraction form
    7,872.80/10,863.32 = 5,042.66/x
  3. Step 3: Cross multiply
    7,872.80x = 10,863.32 × 5,042.66
  4. Step 4: Simplify right side
    7,872.80x = 54,780,029.23
  5. Step 5: Solve for x
    x = 54,780,029.23/7,872.80
  6. Step 6: Final answer
    x = 6,958.14

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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.