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Finding the Fourth Proportional to 8,205.68, 12,307.92 and 3,207.11

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Solution

The fourth proportional to 8,205.68, 12,307.92 and 3,207.11 is: 4,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.68 : 12,307.92 = 3,207.11 : x
  2. Step 2: Convert to fraction form
    8,205.68/12,307.92 = 3,207.11/x
  3. Step 3: Cross multiply
    8,205.68x = 12,307.92 × 3,207.11
  4. Step 4: Simplify right side
    8,205.68x = 39,472,837.28
  5. Step 5: Solve for x
    x = 39,472,837.28/8,205.68
  6. Step 6: Final answer
    x = 4,810.43

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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.