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Finding the Fourth Proportional to 7,884.74, 10,876.68 and 6,780.31

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Solution

The fourth proportional to 7,884.74, 10,876.68 and 6,780.31 is: 9,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.74 : 10,876.68 = 6,780.31 : x
  2. Step 2: Convert to fraction form
    7,884.74/10,876.68 = 6,780.31/x
  3. Step 3: Cross multiply
    7,884.74x = 10,876.68 × 6,780.31
  4. Step 4: Simplify right side
    7,884.74x = 73,747,234.98
  5. Step 5: Solve for x
    x = 73,747,234.98/7,884.74
  6. Step 6: Final answer
    x = 9,353.16

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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.