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Finding the Fourth Proportional to 8,091.84, 12,146.40 and 3,478.08

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Solution

The fourth proportional to 8,091.84, 12,146.40 and 3,478.08 is: 5,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.84 : 12,146.40 = 3,478.08 : x
  2. Step 2: Convert to fraction form
    8,091.84/12,146.40 = 3,478.08/x
  3. Step 3: Cross multiply
    8,091.84x = 12,146.40 × 3,478.08
  4. Step 4: Simplify right side
    8,091.84x = 42,246,150.91
  5. Step 5: Solve for x
    x = 42,246,150.91/8,091.84
  6. Step 6: Final answer
    x = 5,220.83

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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.