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Finding the Fourth Proportional to 7,391.88, 10,202.04 and 4,248

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Solution

The fourth proportional to 7,391.88, 10,202.04 and 4,248 is: 5,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.88 : 10,202.04 = 4,248 : x
  2. Step 2: Convert to fraction form
    7,391.88/10,202.04 = 4,248/x
  3. Step 3: Cross multiply
    7,391.88x = 10,202.04 × 4,248
  4. Step 4: Simplify right side
    7,391.88x = 43,338,265.92
  5. Step 5: Solve for x
    x = 43,338,265.92/7,391.88
  6. Step 6: Final answer
    x = 5,862.96

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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.