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Finding the Fourth Proportional to 8,294.20, 11,445.71 and 4,936.24

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Solution

The fourth proportional to 8,294.20, 11,445.71 and 4,936.24 is: 6,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.20 : 11,445.71 = 4,936.24 : x
  2. Step 2: Convert to fraction form
    8,294.20/11,445.71 = 4,936.24/x
  3. Step 3: Cross multiply
    8,294.20x = 11,445.71 × 4,936.24
  4. Step 4: Simplify right side
    8,294.20x = 56,498,761.16
  5. Step 5: Solve for x
    x = 56,498,761.16/8,294.20
  6. Step 6: Final answer
    x = 6,811.84

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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.