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Finding the Fourth Proportional to 10,832.67, 16,243.83 and 6,881.76

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Solution

The fourth proportional to 10,832.67, 16,243.83 and 6,881.76 is: 10,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.67 : 16,243.83 = 6,881.76 : x
  2. Step 2: Convert to fraction form
    10,832.67/16,243.83 = 6,881.76/x
  3. Step 3: Cross multiply
    10,832.67x = 16,243.83 × 6,881.76
  4. Step 4: Simplify right side
    10,832.67x = 111,786,139.54
  5. Step 5: Solve for x
    x = 111,786,139.54/10,832.67
  6. Step 6: Final answer
    x = 10,319.35

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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.