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Finding the Fourth Proportional to 10,522.92, 15,784.20 and 3,859.92

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Solution

The fourth proportional to 10,522.92, 15,784.20 and 3,859.92 is: 5,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.92 : 15,784.20 = 3,859.92 : x
  2. Step 2: Convert to fraction form
    10,522.92/15,784.20 = 3,859.92/x
  3. Step 3: Cross multiply
    10,522.92x = 15,784.20 × 3,859.92
  4. Step 4: Simplify right side
    10,522.92x = 60,925,749.26
  5. Step 5: Solve for x
    x = 60,925,749.26/10,522.92
  6. Step 6: Final answer
    x = 5,789.81

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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.