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Finding the Fourth Proportional to 11,394.95, 15,724.49 and 8,409.69

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Solution

The fourth proportional to 11,394.95, 15,724.49 and 8,409.69 is: 11,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.95 : 15,724.49 = 8,409.69 : x
  2. Step 2: Convert to fraction form
    11,394.95/15,724.49 = 8,409.69/x
  3. Step 3: Cross multiply
    11,394.95x = 15,724.49 × 8,409.69
  4. Step 4: Simplify right side
    11,394.95x = 132,238,086.31
  5. Step 5: Solve for x
    x = 132,238,086.31/11,394.95
  6. Step 6: Final answer
    x = 11,604.97

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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.