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Finding the Fourth Proportional to 11,441.16, 17,161.56 and 8,340.84

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Solution

The fourth proportional to 11,441.16, 17,161.56 and 8,340.84 is: 12,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.16 : 17,161.56 = 8,340.84 : x
  2. Step 2: Convert to fraction form
    11,441.16/17,161.56 = 8,340.84/x
  3. Step 3: Cross multiply
    11,441.16x = 17,161.56 × 8,340.84
  4. Step 4: Simplify right side
    11,441.16x = 143,141,826.11
  5. Step 5: Solve for x
    x = 143,141,826.11/11,441.16
  6. Step 6: Final answer
    x = 12,511.13

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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.