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Finding the Fourth Proportional to 11,911.74, 16,438.09 and 6,534.07

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Solution

The fourth proportional to 11,911.74, 16,438.09 and 6,534.07 is: 9,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.74 : 16,438.09 = 6,534.07 : x
  2. Step 2: Convert to fraction form
    11,911.74/16,438.09 = 6,534.07/x
  3. Step 3: Cross multiply
    11,911.74x = 16,438.09 × 6,534.07
  4. Step 4: Simplify right side
    11,911.74x = 107,407,630.73
  5. Step 5: Solve for x
    x = 107,407,630.73/11,911.74
  6. Step 6: Final answer
    x = 9,016.96

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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.