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Finding the Fourth Proportional to 10,765.92, 16,147.96 and 2,974

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Solution

The fourth proportional to 10,765.92, 16,147.96 and 2,974 is: 4,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.92 : 16,147.96 = 2,974 : x
  2. Step 2: Convert to fraction form
    10,765.92/16,147.96 = 2,974/x
  3. Step 3: Cross multiply
    10,765.92x = 16,147.96 × 2,974
  4. Step 4: Simplify right side
    10,765.92x = 48,024,033.04
  5. Step 5: Solve for x
    x = 48,024,033.04/10,765.92
  6. Step 6: Final answer
    x = 4,460.75

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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.