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Finding the Fourth Proportional to 8,135.28, 11,219.04 and 5,785.20

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Solution

The fourth proportional to 8,135.28, 11,219.04 and 5,785.20 is: 7,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.28 : 11,219.04 = 5,785.20 : x
  2. Step 2: Convert to fraction form
    8,135.28/11,219.04 = 5,785.20/x
  3. Step 3: Cross multiply
    8,135.28x = 11,219.04 × 5,785.20
  4. Step 4: Simplify right side
    8,135.28x = 64,904,390.21
  5. Step 5: Solve for x
    x = 64,904,390.21/8,135.28
  6. Step 6: Final answer
    x = 7,978.14

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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.