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Finding the Fourth Proportional to 10,834.67, 16,246.83 and 6,883.76

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Solution

The fourth proportional to 10,834.67, 16,246.83 and 6,883.76 is: 10,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.67 : 16,246.83 = 6,883.76 : x
  2. Step 2: Convert to fraction form
    10,834.67/16,246.83 = 6,883.76/x
  3. Step 3: Cross multiply
    10,834.67x = 16,246.83 × 6,883.76
  4. Step 4: Simplify right side
    10,834.67x = 111,839,278.48
  5. Step 5: Solve for x
    x = 111,839,278.48/10,834.67
  6. Step 6: Final answer
    x = 10,322.35

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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.