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Finding the Fourth Proportional to 6,908.78, 10,354.86 and 2,523.86

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Solution

The fourth proportional to 6,908.78, 10,354.86 and 2,523.86 is: 3,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.78 : 10,354.86 = 2,523.86 : x
  2. Step 2: Convert to fraction form
    6,908.78/10,354.86 = 2,523.86/x
  3. Step 3: Cross multiply
    6,908.78x = 10,354.86 × 2,523.86
  4. Step 4: Simplify right side
    6,908.78x = 26,134,216.96
  5. Step 5: Solve for x
    x = 26,134,216.96/6,908.78
  6. Step 6: Final answer
    x = 3,782.75

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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.