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Finding the Fourth Proportional to 7,916.68, 10,920.25 and 5,227.92

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Solution

The fourth proportional to 7,916.68, 10,920.25 and 5,227.92 is: 7,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.68 : 10,920.25 = 5,227.92 : x
  2. Step 2: Convert to fraction form
    7,916.68/10,920.25 = 5,227.92/x
  3. Step 3: Cross multiply
    7,916.68x = 10,920.25 × 5,227.92
  4. Step 4: Simplify right side
    7,916.68x = 57,090,193.38
  5. Step 5: Solve for x
    x = 57,090,193.38/7,916.68
  6. Step 6: Final answer
    x = 7,211.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.