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Finding the Fourth Proportional to 10,489.04, 15,733.56 and 2,697.86

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Solution

The fourth proportional to 10,489.04, 15,733.56 and 2,697.86 is: 4,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.04 : 15,733.56 = 2,697.86 : x
  2. Step 2: Convert to fraction form
    10,489.04/15,733.56 = 2,697.86/x
  3. Step 3: Cross multiply
    10,489.04x = 15,733.56 × 2,697.86
  4. Step 4: Simplify right side
    10,489.04x = 42,446,942.18
  5. Step 5: Solve for x
    x = 42,446,942.18/10,489.04
  6. Step 6: Final answer
    x = 4,046.79

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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.