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Finding the Fourth Proportional to 11,849.95, 16,344.75 and 9,611.92

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Solution

The fourth proportional to 11,849.95, 16,344.75 and 9,611.92 is: 13,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.95 : 16,344.75 = 9,611.92 : x
  2. Step 2: Convert to fraction form
    11,849.95/16,344.75 = 9,611.92/x
  3. Step 3: Cross multiply
    11,849.95x = 16,344.75 × 9,611.92
  4. Step 4: Simplify right side
    11,849.95x = 157,104,429.42
  5. Step 5: Solve for x
    x = 157,104,429.42/11,849.95
  6. Step 6: Final answer
    x = 13,257.81

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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.