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Finding the Fourth Proportional to 8,105.30, 12,153.08 and 3,169.06

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Solution

The fourth proportional to 8,105.30, 12,153.08 and 3,169.06 is: 4,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.30 : 12,153.08 = 3,169.06 : x
  2. Step 2: Convert to fraction form
    8,105.30/12,153.08 = 3,169.06/x
  3. Step 3: Cross multiply
    8,105.30x = 12,153.08 × 3,169.06
  4. Step 4: Simplify right side
    8,105.30x = 38,513,763.09
  5. Step 5: Solve for x
    x = 38,513,763.09/8,105.30
  6. Step 6: Final answer
    x = 4,751.68

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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.