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Finding the Fourth Proportional to 8,205.72, 12,292.14 and 3,817.08

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Solution

The fourth proportional to 8,205.72, 12,292.14 and 3,817.08 is: 5,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.72 : 12,292.14 = 3,817.08 : x
  2. Step 2: Convert to fraction form
    8,205.72/12,292.14 = 3,817.08/x
  3. Step 3: Cross multiply
    8,205.72x = 12,292.14 × 3,817.08
  4. Step 4: Simplify right side
    8,205.72x = 46,920,081.75
  5. Step 5: Solve for x
    x = 46,920,081.75/8,205.72
  6. Step 6: Final answer
    x = 5,717.97

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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.