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Finding the Fourth Proportional to 11,697.30, 17,523.27 and 5,858.82

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Solution

The fourth proportional to 11,697.30, 17,523.27 and 5,858.82 is: 8,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.30 : 17,523.27 = 5,858.82 : x
  2. Step 2: Convert to fraction form
    11,697.30/17,523.27 = 5,858.82/x
  3. Step 3: Cross multiply
    11,697.30x = 17,523.27 × 5,858.82
  4. Step 4: Simplify right side
    11,697.30x = 102,665,684.74
  5. Step 5: Solve for x
    x = 102,665,684.74/11,697.30
  6. Step 6: Final answer
    x = 8,776.87

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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.