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Finding the Fourth Proportional to 10,937.40, 16,415.70 and 9,382.20

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Solution

The fourth proportional to 10,937.40, 16,415.70 and 9,382.20 is: 14,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.40 : 16,415.70 = 9,382.20 : x
  2. Step 2: Convert to fraction form
    10,937.40/16,415.70 = 9,382.20/x
  3. Step 3: Cross multiply
    10,937.40x = 16,415.70 × 9,382.20
  4. Step 4: Simplify right side
    10,937.40x = 154,015,380.54
  5. Step 5: Solve for x
    x = 154,015,380.54/10,937.40
  6. Step 6: Final answer
    x = 14,081.53

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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.