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Finding the Fourth Proportional to 7,658.16, 11,481.47 and 3,910.50

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Solution

The fourth proportional to 7,658.16, 11,481.47 and 3,910.50 is: 5,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.16 : 11,481.47 = 3,910.50 : x
  2. Step 2: Convert to fraction form
    7,658.16/11,481.47 = 3,910.50/x
  3. Step 3: Cross multiply
    7,658.16x = 11,481.47 × 3,910.50
  4. Step 4: Simplify right side
    7,658.16x = 44,898,288.44
  5. Step 5: Solve for x
    x = 44,898,288.44/7,658.16
  6. Step 6: Final answer
    x = 5,862.80

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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.