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Finding the Fourth Proportional to 10,781.64, 16,162.05 and 3,380.94

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Solution

The fourth proportional to 10,781.64, 16,162.05 and 3,380.94 is: 5,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.64 : 16,162.05 = 3,380.94 : x
  2. Step 2: Convert to fraction form
    10,781.64/16,162.05 = 3,380.94/x
  3. Step 3: Cross multiply
    10,781.64x = 16,162.05 × 3,380.94
  4. Step 4: Simplify right side
    10,781.64x = 54,642,921.33
  5. Step 5: Solve for x
    x = 54,642,921.33/10,781.64
  6. Step 6: Final answer
    x = 5,068.15

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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.