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Finding the Fourth Proportional to 7,326.14, 10,993.14 and 4,862.12

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Solution

The fourth proportional to 7,326.14, 10,993.14 and 4,862.12 is: 7,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,326.14 : 10,993.14 = 4,862.12 : x
  2. Step 2: Convert to fraction form
    7,326.14/10,993.14 = 4,862.12/x
  3. Step 3: Cross multiply
    7,326.14x = 10,993.14 × 4,862.12
  4. Step 4: Simplify right side
    7,326.14x = 53,449,910.89
  5. Step 5: Solve for x
    x = 53,449,910.89/7,326.14
  6. Step 6: Final answer
    x = 7,295.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.