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Finding the Fourth Proportional to 11,191.41, 16,767.68 and 7,852.59

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Solution

The fourth proportional to 11,191.41, 16,767.68 and 7,852.59 is: 11,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.41 : 16,767.68 = 7,852.59 : x
  2. Step 2: Convert to fraction form
    11,191.41/16,767.68 = 7,852.59/x
  3. Step 3: Cross multiply
    11,191.41x = 16,767.68 × 7,852.59
  4. Step 4: Simplify right side
    11,191.41x = 131,669,677.03
  5. Step 5: Solve for x
    x = 131,669,677.03/11,191.41
  6. Step 6: Final answer
    x = 11,765.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.