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Finding the Fourth Proportional to 11,506.00, 15,882.57 and 6,727.48

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Solution

The fourth proportional to 11,506.00, 15,882.57 and 6,727.48 is: 9,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.00 : 15,882.57 = 6,727.48 : x
  2. Step 2: Convert to fraction form
    11,506.00/15,882.57 = 6,727.48/x
  3. Step 3: Cross multiply
    11,506.00x = 15,882.57 × 6,727.48
  4. Step 4: Simplify right side
    11,506.00x = 106,849,722.66
  5. Step 5: Solve for x
    x = 106,849,722.66/11,506.00
  6. Step 6: Final answer
    x = 9,286.44

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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.