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Finding the Fourth Proportional to 10,902.68, 16,350.76 and 3,881.44

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Solution

The fourth proportional to 10,902.68, 16,350.76 and 3,881.44 is: 5,821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.68 : 16,350.76 = 3,881.44 : x
  2. Step 2: Convert to fraction form
    10,902.68/16,350.76 = 3,881.44/x
  3. Step 3: Cross multiply
    10,902.68x = 16,350.76 × 3,881.44
  4. Step 4: Simplify right side
    10,902.68x = 63,464,493.89
  5. Step 5: Solve for x
    x = 63,464,493.89/10,902.68
  6. Step 6: Final answer
    x = 5,821.00

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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.