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Finding the Fourth Proportional to 7,729.97, 10,668 and 4,373.38

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Solution

The fourth proportional to 7,729.97, 10,668 and 4,373.38 is: 6,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.97 : 10,668 = 4,373.38 : x
  2. Step 2: Convert to fraction form
    7,729.97/10,668 = 4,373.38/x
  3. Step 3: Cross multiply
    7,729.97x = 10,668 × 4,373.38
  4. Step 4: Simplify right side
    7,729.97x = 46,655,191.17
  5. Step 5: Solve for x
    x = 46,655,191.17/7,729.97
  6. Step 6: Final answer
    x = 6,035.63

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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.