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Finding the Fourth Proportional to 8,478.78, 11,704.74 and 5,650.87

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Solution

The fourth proportional to 8,478.78, 11,704.74 and 5,650.87 is: 7,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.78 : 11,704.74 = 5,650.87 : x
  2. Step 2: Convert to fraction form
    8,478.78/11,704.74 = 5,650.87/x
  3. Step 3: Cross multiply
    8,478.78x = 11,704.74 × 5,650.87
  4. Step 4: Simplify right side
    8,478.78x = 66,141,992.38
  5. Step 5: Solve for x
    x = 66,141,992.38/8,478.78
  6. Step 6: Final answer
    x = 7,800.88

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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.