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Finding the Fourth Proportional to 10,960.80, 16,441.20 and 9,405.60

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Solution

The fourth proportional to 10,960.80, 16,441.20 and 9,405.60 is: 14,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.80 : 16,441.20 = 9,405.60 : x
  2. Step 2: Convert to fraction form
    10,960.80/16,441.20 = 9,405.60/x
  3. Step 3: Cross multiply
    10,960.80x = 16,441.20 × 9,405.60
  4. Step 4: Simplify right side
    10,960.80x = 154,639,350.72
  5. Step 5: Solve for x
    x = 154,639,350.72/10,960.80
  6. Step 6: Final answer
    x = 14,108.40

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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.