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Finding the Fourth Proportional to 11,431.12, 15,774.21 and 6,394.48

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Solution

The fourth proportional to 11,431.12, 15,774.21 and 6,394.48 is: 8,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.12 : 15,774.21 = 6,394.48 : x
  2. Step 2: Convert to fraction form
    11,431.12/15,774.21 = 6,394.48/x
  3. Step 3: Cross multiply
    11,431.12x = 15,774.21 × 6,394.48
  4. Step 4: Simplify right side
    11,431.12x = 100,867,870.36
  5. Step 5: Solve for x
    x = 100,867,870.36/11,431.12
  6. Step 6: Final answer
    x = 8,823.97

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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.