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Finding the Fourth Proportional to 10,199.56, 15,301.55 and 3,179.44

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Solution

The fourth proportional to 10,199.56, 15,301.55 and 3,179.44 is: 4,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.56 : 15,301.55 = 3,179.44 : x
  2. Step 2: Convert to fraction form
    10,199.56/15,301.55 = 3,179.44/x
  3. Step 3: Cross multiply
    10,199.56x = 15,301.55 × 3,179.44
  4. Step 4: Simplify right side
    10,199.56x = 48,650,360.13
  5. Step 5: Solve for x
    x = 48,650,360.13/10,199.56
  6. Step 6: Final answer
    x = 4,769.85

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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.