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Finding the Fourth Proportional to 8,298.28, 11,435.88 and 5,936.32

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Solution

The fourth proportional to 8,298.28, 11,435.88 and 5,936.32 is: 8,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.28 : 11,435.88 = 5,936.32 : x
  2. Step 2: Convert to fraction form
    8,298.28/11,435.88 = 5,936.32/x
  3. Step 3: Cross multiply
    8,298.28x = 11,435.88 × 5,936.32
  4. Step 4: Simplify right side
    8,298.28x = 67,887,043.16
  5. Step 5: Solve for x
    x = 67,887,043.16/8,298.28
  6. Step 6: Final answer
    x = 8,180.86

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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.