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Finding the Fourth Proportional to 10,884.57, 15,023.92 and 7,108.33

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Solution

The fourth proportional to 10,884.57, 15,023.92 and 7,108.33 is: 9,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.57 : 15,023.92 = 7,108.33 : x
  2. Step 2: Convert to fraction form
    10,884.57/15,023.92 = 7,108.33/x
  3. Step 3: Cross multiply
    10,884.57x = 15,023.92 × 7,108.33
  4. Step 4: Simplify right side
    10,884.57x = 106,794,906.13
  5. Step 5: Solve for x
    x = 106,794,906.13/10,884.57
  6. Step 6: Final answer
    x = 9,811.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.