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Finding the Fourth Proportional to 8,205.58, 12,308.54 and 2,658.91

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Solution

The fourth proportional to 8,205.58, 12,308.54 and 2,658.91 is: 3,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.58 : 12,308.54 = 2,658.91 : x
  2. Step 2: Convert to fraction form
    8,205.58/12,308.54 = 2,658.91/x
  3. Step 3: Cross multiply
    8,205.58x = 12,308.54 × 2,658.91
  4. Step 4: Simplify right side
    8,205.58x = 32,727,306.74
  5. Step 5: Solve for x
    x = 32,727,306.74/8,205.58
  6. Step 6: Final answer
    x = 3,988.42

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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.