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Finding the Fourth Proportional to 10,523.92, 15,766.44 and 7,594.96

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Solution

The fourth proportional to 10,523.92, 15,766.44 and 7,594.96 is: 11,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.92 : 15,766.44 = 7,594.96 : x
  2. Step 2: Convert to fraction form
    10,523.92/15,766.44 = 7,594.96/x
  3. Step 3: Cross multiply
    10,523.92x = 15,766.44 × 7,594.96
  4. Step 4: Simplify right side
    10,523.92x = 119,745,481.14
  5. Step 5: Solve for x
    x = 119,745,481.14/10,523.92
  6. Step 6: Final answer
    x = 11,378.41

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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.