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Finding the Fourth Proportional to 10,818.32, 16,223.49 and 3,796.43

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Solution

The fourth proportional to 10,818.32, 16,223.49 and 3,796.43 is: 5,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.32 : 16,223.49 = 3,796.43 : x
  2. Step 2: Convert to fraction form
    10,818.32/16,223.49 = 3,796.43/x
  3. Step 3: Cross multiply
    10,818.32x = 16,223.49 × 3,796.43
  4. Step 4: Simplify right side
    10,818.32x = 61,591,263.02
  5. Step 5: Solve for x
    x = 61,591,263.02/10,818.32
  6. Step 6: Final answer
    x = 5,693.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.