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Finding the Fourth Proportional to 11,363.26, 15,682.15 and 6,584.49

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Solution

The fourth proportional to 11,363.26, 15,682.15 and 6,584.49 is: 9,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.26 : 15,682.15 = 6,584.49 : x
  2. Step 2: Convert to fraction form
    11,363.26/15,682.15 = 6,584.49/x
  3. Step 3: Cross multiply
    11,363.26x = 15,682.15 × 6,584.49
  4. Step 4: Simplify right side
    11,363.26x = 103,258,959.85
  5. Step 5: Solve for x
    x = 103,258,959.85/11,363.26
  6. Step 6: Final answer
    x = 9,087.09

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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.