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Finding the Fourth Proportional to 10,902.32, 16,353.36 and 2,694.32

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Solution

The fourth proportional to 10,902.32, 16,353.36 and 2,694.32 is: 4,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.32 : 16,353.36 = 2,694.32 : x
  2. Step 2: Convert to fraction form
    10,902.32/16,353.36 = 2,694.32/x
  3. Step 3: Cross multiply
    10,902.32x = 16,353.36 × 2,694.32
  4. Step 4: Simplify right side
    10,902.32x = 44,061,184.92
  5. Step 5: Solve for x
    x = 44,061,184.92/10,902.32
  6. Step 6: Final answer
    x = 4,041.45

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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.