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Finding the Fourth Proportional to 10,965.60, 16,446.24 and 3,944.16

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Solution

The fourth proportional to 10,965.60, 16,446.24 and 3,944.16 is: 5,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.60 : 16,446.24 = 3,944.16 : x
  2. Step 2: Convert to fraction form
    10,965.60/16,446.24 = 3,944.16/x
  3. Step 3: Cross multiply
    10,965.60x = 16,446.24 × 3,944.16
  4. Step 4: Simplify right side
    10,965.60x = 64,866,601.96
  5. Step 5: Solve for x
    x = 64,866,601.96/10,965.60
  6. Step 6: Final answer
    x = 5,915.46

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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.