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Finding the Fourth Proportional to 7,453.62, 10,283.43 and 5,329.38

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Solution

The fourth proportional to 7,453.62, 10,283.43 and 5,329.38 is: 7,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.62 : 10,283.43 = 5,329.38 : x
  2. Step 2: Convert to fraction form
    7,453.62/10,283.43 = 5,329.38/x
  3. Step 3: Cross multiply
    7,453.62x = 10,283.43 × 5,329.38
  4. Step 4: Simplify right side
    7,453.62x = 54,804,306.17
  5. Step 5: Solve for x
    x = 54,804,306.17/7,453.62
  6. Step 6: Final answer
    x = 7,352.71

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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.