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Finding the Fourth Proportional to 7,321.34, 10,103.49 and 4,134.78

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Solution

The fourth proportional to 7,321.34, 10,103.49 and 4,134.78 is: 5,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.34 : 10,103.49 = 4,134.78 : x
  2. Step 2: Convert to fraction form
    7,321.34/10,103.49 = 4,134.78/x
  3. Step 3: Cross multiply
    7,321.34x = 10,103.49 × 4,134.78
  4. Step 4: Simplify right side
    7,321.34x = 41,775,708.38
  5. Step 5: Solve for x
    x = 41,775,708.38/7,321.34
  6. Step 6: Final answer
    x = 5,706.02

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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.