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Finding the Fourth Proportional to 8,658.96, 12,982.28 and 4,150.84

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Solution

The fourth proportional to 8,658.96, 12,982.28 and 4,150.84 is: 6,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.96 : 12,982.28 = 4,150.84 : x
  2. Step 2: Convert to fraction form
    8,658.96/12,982.28 = 4,150.84/x
  3. Step 3: Cross multiply
    8,658.96x = 12,982.28 × 4,150.84
  4. Step 4: Simplify right side
    8,658.96x = 53,887,367.12
  5. Step 5: Solve for x
    x = 53,887,367.12/8,658.96
  6. Step 6: Final answer
    x = 6,223.31

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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.