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Finding the Fourth Proportional to 7,277.71, 10,916.80 and 5,694.97

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Solution

The fourth proportional to 7,277.71, 10,916.80 and 5,694.97 is: 8,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.71 : 10,916.80 = 5,694.97 : x
  2. Step 2: Convert to fraction form
    7,277.71/10,916.80 = 5,694.97/x
  3. Step 3: Cross multiply
    7,277.71x = 10,916.80 × 5,694.97
  4. Step 4: Simplify right side
    7,277.71x = 62,170,806.97
  5. Step 5: Solve for x
    x = 62,170,806.97/7,277.71
  6. Step 6: Final answer
    x = 8,542.64

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Why These Related Problems?

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