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Finding the Fourth Proportional to 7,942.78, 11,916.76 and 5,719.79

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Solution

The fourth proportional to 7,942.78, 11,916.76 and 5,719.79 is: 8,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.78 : 11,916.76 = 5,719.79 : x
  2. Step 2: Convert to fraction form
    7,942.78/11,916.76 = 5,719.79/x
  3. Step 3: Cross multiply
    7,942.78x = 11,916.76 × 5,719.79
  4. Step 4: Simplify right side
    7,942.78x = 68,161,364.68
  5. Step 5: Solve for x
    x = 68,161,364.68/7,942.78
  6. Step 6: Final answer
    x = 8,581.55

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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.