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Finding the Fourth Proportional to 10,188.72, 15,282.72 and 2,793.06

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Solution

The fourth proportional to 10,188.72, 15,282.72 and 2,793.06 is: 4,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.72 : 15,282.72 = 2,793.06 : x
  2. Step 2: Convert to fraction form
    10,188.72/15,282.72 = 2,793.06/x
  3. Step 3: Cross multiply
    10,188.72x = 15,282.72 × 2,793.06
  4. Step 4: Simplify right side
    10,188.72x = 42,685,553.92
  5. Step 5: Solve for x
    x = 42,685,553.92/10,188.72
  6. Step 6: Final answer
    x = 4,189.49

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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.