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Finding the Fourth Proportional to 7,876.62, 11,822.22 and 3,983.76

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Solution

The fourth proportional to 7,876.62, 11,822.22 and 3,983.76 is: 5,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.62 : 11,822.22 = 3,983.76 : x
  2. Step 2: Convert to fraction form
    7,876.62/11,822.22 = 3,983.76/x
  3. Step 3: Cross multiply
    7,876.62x = 11,822.22 × 3,983.76
  4. Step 4: Simplify right side
    7,876.62x = 47,096,887.15
  5. Step 5: Solve for x
    x = 47,096,887.15/7,876.62
  6. Step 6: Final answer
    x = 5,979.33

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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.