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Finding the Fourth Proportional to 7,793.92, 10,754.91 and 4,810.72

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Solution

The fourth proportional to 7,793.92, 10,754.91 and 4,810.72 is: 6,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.92 : 10,754.91 = 4,810.72 : x
  2. Step 2: Convert to fraction form
    7,793.92/10,754.91 = 4,810.72/x
  3. Step 3: Cross multiply
    7,793.92x = 10,754.91 × 4,810.72
  4. Step 4: Simplify right side
    7,793.92x = 51,738,843.96
  5. Step 5: Solve for x
    x = 51,738,843.96/7,793.92
  6. Step 6: Final answer
    x = 6,638.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.