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Finding the Fourth Proportional to 10,199.64, 15,301.62 and 3,179.46

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Solution

The fourth proportional to 10,199.64, 15,301.62 and 3,179.46 is: 4,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.64 : 15,301.62 = 3,179.46 : x
  2. Step 2: Convert to fraction form
    10,199.64/15,301.62 = 3,179.46/x
  3. Step 3: Cross multiply
    10,199.64x = 15,301.62 × 3,179.46
  4. Step 4: Simplify right side
    10,199.64x = 48,650,888.73
  5. Step 5: Solve for x
    x = 48,650,888.73/10,199.64
  6. Step 6: Final answer
    x = 4,769.86

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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.