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Finding the Fourth Proportional to 8,207.25, 12,307.83 and 2,659.15

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Solution

The fourth proportional to 8,207.25, 12,307.83 and 2,659.15 is: 3,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.25 : 12,307.83 = 2,659.15 : x
  2. Step 2: Convert to fraction form
    8,207.25/12,307.83 = 2,659.15/x
  3. Step 3: Cross multiply
    8,207.25x = 12,307.83 × 2,659.15
  4. Step 4: Simplify right side
    8,207.25x = 32,728,366.14
  5. Step 5: Solve for x
    x = 32,728,366.14/8,207.25
  6. Step 6: Final answer
    x = 3,987.74

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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.