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Finding the Fourth Proportional to 11,431.80, 15,774.84 and 6,396.12

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Solution

The fourth proportional to 11,431.80, 15,774.84 and 6,396.12 is: 8,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.80 : 15,774.84 = 6,396.12 : x
  2. Step 2: Convert to fraction form
    11,431.80/15,774.84 = 6,396.12/x
  3. Step 3: Cross multiply
    11,431.80x = 15,774.84 × 6,396.12
  4. Step 4: Simplify right side
    11,431.80x = 100,897,769.62
  5. Step 5: Solve for x
    x = 100,897,769.62/11,431.80
  6. Step 6: Final answer
    x = 8,826.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.