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Finding the Fourth Proportional to 8,109.49, 12,157.02 and 3,182.65

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Solution

The fourth proportional to 8,109.49, 12,157.02 and 3,182.65 is: 4,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.49 : 12,157.02 = 3,182.65 : x
  2. Step 2: Convert to fraction form
    8,109.49/12,157.02 = 3,182.65/x
  3. Step 3: Cross multiply
    8,109.49x = 12,157.02 × 3,182.65
  4. Step 4: Simplify right side
    8,109.49x = 38,691,539.70
  5. Step 5: Solve for x
    x = 38,691,539.70/8,109.49
  6. Step 6: Final answer
    x = 4,771.14

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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.