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Finding the Fourth Proportional to 8,658.98, 12,989.84 and 2,814.22

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Solution

The fourth proportional to 8,658.98, 12,989.84 and 2,814.22 is: 4,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.98 : 12,989.84 = 2,814.22 : x
  2. Step 2: Convert to fraction form
    8,658.98/12,989.84 = 2,814.22/x
  3. Step 3: Cross multiply
    8,658.98x = 12,989.84 × 2,814.22
  4. Step 4: Simplify right side
    8,658.98x = 36,556,267.52
  5. Step 5: Solve for x
    x = 36,556,267.52/8,658.98
  6. Step 6: Final answer
    x = 4,221.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.