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Finding the Fourth Proportional to 10,188.76, 15,282.92 and 2,793.04

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Solution

The fourth proportional to 10,188.76, 15,282.92 and 2,793.04 is: 4,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.76 : 15,282.92 = 2,793.04 : x
  2. Step 2: Convert to fraction form
    10,188.76/15,282.92 = 2,793.04/x
  3. Step 3: Cross multiply
    10,188.76x = 15,282.92 × 2,793.04
  4. Step 4: Simplify right side
    10,188.76x = 42,685,806.88
  5. Step 5: Solve for x
    x = 42,685,806.88/10,188.76
  6. Step 6: Final answer
    x = 4,189.50

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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.