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Finding the Fourth Proportional to 10,960.32, 16,443.12 and 3,169.68

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Solution

The fourth proportional to 10,960.32, 16,443.12 and 3,169.68 is: 4,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.32 : 16,443.12 = 3,169.68 : x
  2. Step 2: Convert to fraction form
    10,960.32/16,443.12 = 3,169.68/x
  3. Step 3: Cross multiply
    10,960.32x = 16,443.12 × 3,169.68
  4. Step 4: Simplify right side
    10,960.32x = 52,119,428.60
  5. Step 5: Solve for x
    x = 52,119,428.60/10,960.32
  6. Step 6: Final answer
    x = 4,755.28

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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.