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Finding the Fourth Proportional to 10,902.40, 16,353.76 and 2,694.40

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Solution

The fourth proportional to 10,902.40, 16,353.76 and 2,694.40 is: 4,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.40 : 16,353.76 = 2,694.40 : x
  2. Step 2: Convert to fraction form
    10,902.40/16,353.76 = 2,694.40/x
  3. Step 3: Cross multiply
    10,902.40x = 16,353.76 × 2,694.40
  4. Step 4: Simplify right side
    10,902.40x = 44,063,570.94
  5. Step 5: Solve for x
    x = 44,063,570.94/10,902.40
  6. Step 6: Final answer
    x = 4,041.64

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Why These Related Problems?

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