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Finding the Fourth Proportional to 8,097.57, 11,101.76 and 7,949.95

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Solution

The fourth proportional to 8,097.57, 11,101.76 and 7,949.95 is: 10,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.57 : 11,101.76 = 7,949.95 : x
  2. Step 2: Convert to fraction form
    8,097.57/11,101.76 = 7,949.95/x
  3. Step 3: Cross multiply
    8,097.57x = 11,101.76 × 7,949.95
  4. Step 4: Simplify right side
    8,097.57x = 88,258,399.22
  5. Step 5: Solve for x
    x = 88,258,399.22/8,097.57
  6. Step 6: Final answer
    x = 10,899.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.