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Finding the Fourth Proportional to 7,266.57, 10,033.79 and 5,922.38

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Solution

The fourth proportional to 7,266.57, 10,033.79 and 5,922.38 is: 8,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.57 : 10,033.79 = 5,922.38 : x
  2. Step 2: Convert to fraction form
    7,266.57/10,033.79 = 5,922.38/x
  3. Step 3: Cross multiply
    7,266.57x = 10,033.79 × 5,922.38
  4. Step 4: Simplify right side
    7,266.57x = 59,423,837.44
  5. Step 5: Solve for x
    x = 59,423,837.44/7,266.57
  6. Step 6: Final answer
    x = 8,177.70

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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.