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Finding the Fourth Proportional to 11,405.38, 17,106.96 and 7,731.22

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Solution

The fourth proportional to 11,405.38, 17,106.96 and 7,731.22 is: 11,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.38 : 17,106.96 = 7,731.22 : x
  2. Step 2: Convert to fraction form
    11,405.38/17,106.96 = 7,731.22/x
  3. Step 3: Cross multiply
    11,405.38x = 17,106.96 × 7,731.22
  4. Step 4: Simplify right side
    11,405.38x = 132,257,671.29
  5. Step 5: Solve for x
    x = 132,257,671.29/11,405.38
  6. Step 6: Final answer
    x = 11,596.08

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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.