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Finding the Fourth Proportional to 10,887.20, 15,023.92 and 5,919.20

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Solution

The fourth proportional to 10,887.20, 15,023.92 and 5,919.20 is: 8,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887.20 : 15,023.92 = 5,919.20 : x
  2. Step 2: Convert to fraction form
    10,887.20/15,023.92 = 5,919.20/x
  3. Step 3: Cross multiply
    10,887.20x = 15,023.92 × 5,919.20
  4. Step 4: Simplify right side
    10,887.20x = 88,929,587.26
  5. Step 5: Solve for x
    x = 88,929,587.26/10,887.20
  6. Step 6: Final answer
    x = 8,168.27

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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.