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Finding the Fourth Proportional to 6,833.95, 10,251.33 and 2,154.11

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Solution

The fourth proportional to 6,833.95, 10,251.33 and 2,154.11 is: 3,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.95 : 10,251.33 = 2,154.11 : x
  2. Step 2: Convert to fraction form
    6,833.95/10,251.33 = 2,154.11/x
  3. Step 3: Cross multiply
    6,833.95x = 10,251.33 × 2,154.11
  4. Step 4: Simplify right side
    6,833.95x = 22,082,466.84
  5. Step 5: Solve for x
    x = 22,082,466.84/6,833.95
  6. Step 6: Final answer
    x = 3,231.29

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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.