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Finding the Fourth Proportional to 10,981.81, 16,474.32 and 3,189.61

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Solution

The fourth proportional to 10,981.81, 16,474.32 and 3,189.61 is: 4,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.81 : 16,474.32 = 3,189.61 : x
  2. Step 2: Convert to fraction form
    10,981.81/16,474.32 = 3,189.61/x
  3. Step 3: Cross multiply
    10,981.81x = 16,474.32 × 3,189.61
  4. Step 4: Simplify right side
    10,981.81x = 52,546,655.82
  5. Step 5: Solve for x
    x = 52,546,655.82/10,981.81
  6. Step 6: Final answer
    x = 4,784.88

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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.