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Finding the Fourth Proportional to 11,605.31, 17,402.11 and 5,682.65

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Solution

The fourth proportional to 11,605.31, 17,402.11 and 5,682.65 is: 8,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.31 : 17,402.11 = 5,682.65 : x
  2. Step 2: Convert to fraction form
    11,605.31/17,402.11 = 5,682.65/x
  3. Step 3: Cross multiply
    11,605.31x = 17,402.11 × 5,682.65
  4. Step 4: Simplify right side
    11,605.31x = 98,890,100.39
  5. Step 5: Solve for x
    x = 98,890,100.39/11,605.31
  6. Step 6: Final answer
    x = 8,521.11

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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.