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Finding the Fourth Proportional to 10,758.56, 16,138.24 and 2,967.96

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Solution

The fourth proportional to 10,758.56, 16,138.24 and 2,967.96 is: 4,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.56 : 16,138.24 = 2,967.96 : x
  2. Step 2: Convert to fraction form
    10,758.56/16,138.24 = 2,967.96/x
  3. Step 3: Cross multiply
    10,758.56x = 16,138.24 × 2,967.96
  4. Step 4: Simplify right side
    10,758.56x = 47,897,650.79
  5. Step 5: Solve for x
    x = 47,897,650.79/10,758.56
  6. Step 6: Final answer
    x = 4,452.05

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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.