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Finding the Fourth Proportional to 11,658.81, 17,493.38 and 6,110.84

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Solution

The fourth proportional to 11,658.81, 17,493.38 and 6,110.84 is: 9,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.81 : 17,493.38 = 6,110.84 : x
  2. Step 2: Convert to fraction form
    11,658.81/17,493.38 = 6,110.84/x
  3. Step 3: Cross multiply
    11,658.81x = 17,493.38 × 6,110.84
  4. Step 4: Simplify right side
    11,658.81x = 106,899,251.11
  5. Step 5: Solve for x
    x = 106,899,251.11/11,658.81
  6. Step 6: Final answer
    x = 9,168.96

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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.