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Finding the Fourth Proportional to 10,806.86, 16,202.41 and 7,288.12

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Solution

The fourth proportional to 10,806.86, 16,202.41 and 7,288.12 is: 10,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.86 : 16,202.41 = 7,288.12 : x
  2. Step 2: Convert to fraction form
    10,806.86/16,202.41 = 7,288.12/x
  3. Step 3: Cross multiply
    10,806.86x = 16,202.41 × 7,288.12
  4. Step 4: Simplify right side
    10,806.86x = 118,085,108.37
  5. Step 5: Solve for x
    x = 118,085,108.37/10,806.86
  6. Step 6: Final answer
    x = 10,926.87

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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.