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Finding the Fourth Proportional to 10,469.92, 15,704.60 and 4,921.92

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Solution

The fourth proportional to 10,469.92, 15,704.60 and 4,921.92 is: 7,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.92 : 15,704.60 = 4,921.92 : x
  2. Step 2: Convert to fraction form
    10,469.92/15,704.60 = 4,921.92/x
  3. Step 3: Cross multiply
    10,469.92x = 15,704.60 × 4,921.92
  4. Step 4: Simplify right side
    10,469.92x = 77,296,784.83
  5. Step 5: Solve for x
    x = 77,296,784.83/10,469.92
  6. Step 6: Final answer
    x = 7,382.75

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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.