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Finding the Fourth Proportional to 10,902.25, 16,353.38 and 2,694.25

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Solution

The fourth proportional to 10,902.25, 16,353.38 and 2,694.25 is: 4,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.25 : 16,353.38 = 2,694.25 : x
  2. Step 2: Convert to fraction form
    10,902.25/16,353.38 = 2,694.25/x
  3. Step 3: Cross multiply
    10,902.25x = 16,353.38 × 2,694.25
  4. Step 4: Simplify right side
    10,902.25x = 44,060,094.07
  5. Step 5: Solve for x
    x = 44,060,094.07/10,902.25
  6. Step 6: Final answer
    x = 4,041.38

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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.