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Finding the Fourth Proportional to 11,882.24, 16,397.23 and 6,504.68

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Solution

The fourth proportional to 11,882.24, 16,397.23 and 6,504.68 is: 8,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.24 : 16,397.23 = 6,504.68 : x
  2. Step 2: Convert to fraction form
    11,882.24/16,397.23 = 6,504.68/x
  3. Step 3: Cross multiply
    11,882.24x = 16,397.23 × 6,504.68
  4. Step 4: Simplify right side
    11,882.24x = 106,658,619.53
  5. Step 5: Solve for x
    x = 106,658,619.53/11,882.24
  6. Step 6: Final answer
    x = 8,976.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.