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Finding the Fourth Proportional to 10,833.67, 16,245.33 and 6,882.76

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Solution

The fourth proportional to 10,833.67, 16,245.33 and 6,882.76 is: 10,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.67 : 16,245.33 = 6,882.76 : x
  2. Step 2: Convert to fraction form
    10,833.67/16,245.33 = 6,882.76/x
  3. Step 3: Cross multiply
    10,833.67x = 16,245.33 × 6,882.76
  4. Step 4: Simplify right side
    10,833.67x = 111,812,707.51
  5. Step 5: Solve for x
    x = 111,812,707.51/10,833.67
  6. Step 6: Final answer
    x = 10,320.85

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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.