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Finding the Fourth Proportional to 8,207.14, 12,308.06 and 3,525.88

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Solution

The fourth proportional to 8,207.14, 12,308.06 and 3,525.88 is: 5,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.14 : 12,308.06 = 3,525.88 : x
  2. Step 2: Convert to fraction form
    8,207.14/12,308.06 = 3,525.88/x
  3. Step 3: Cross multiply
    8,207.14x = 12,308.06 × 3,525.88
  4. Step 4: Simplify right side
    8,207.14x = 43,396,742.59
  5. Step 5: Solve for x
    x = 43,396,742.59/8,207.14
  6. Step 6: Final answer
    x = 5,287.68

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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.