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Finding the Fourth Proportional to 8,285.67, 12,428.07 and 3,091.14

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Solution

The fourth proportional to 8,285.67, 12,428.07 and 3,091.14 is: 4,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.67 : 12,428.07 = 3,091.14 : x
  2. Step 2: Convert to fraction form
    8,285.67/12,428.07 = 3,091.14/x
  3. Step 3: Cross multiply
    8,285.67x = 12,428.07 × 3,091.14
  4. Step 4: Simplify right side
    8,285.67x = 38,416,904.30
  5. Step 5: Solve for x
    x = 38,416,904.30/8,285.67
  6. Step 6: Final answer
    x = 4,636.55

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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.