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Finding the Fourth Proportional to 11,517.66, 17,271.83 and 4,496.69

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Solution

The fourth proportional to 11,517.66, 17,271.83 and 4,496.69 is: 6,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.66 : 17,271.83 = 4,496.69 : x
  2. Step 2: Convert to fraction form
    11,517.66/17,271.83 = 4,496.69/x
  3. Step 3: Cross multiply
    11,517.66x = 17,271.83 × 4,496.69
  4. Step 4: Simplify right side
    11,517.66x = 77,665,956.40
  5. Step 5: Solve for x
    x = 77,665,956.40/11,517.66
  6. Step 6: Final answer
    x = 6,743.21

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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.