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Finding the Fourth Proportional to 8,208.30, 12,308.04 and 2,584.91

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Solution

The fourth proportional to 8,208.30, 12,308.04 and 2,584.91 is: 3,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.30 : 12,308.04 = 2,584.91 : x
  2. Step 2: Convert to fraction form
    8,208.30/12,308.04 = 2,584.91/x
  3. Step 3: Cross multiply
    8,208.30x = 12,308.04 × 2,584.91
  4. Step 4: Simplify right side
    8,208.30x = 31,815,175.68
  5. Step 5: Solve for x
    x = 31,815,175.68/8,208.30
  6. Step 6: Final answer
    x = 3,875.98

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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.