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Finding the Fourth Proportional to 8,786.52, 12,128.22 and 5,805

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Solution

The fourth proportional to 8,786.52, 12,128.22 and 5,805 is: 8,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786.52 : 12,128.22 = 5,805 : x
  2. Step 2: Convert to fraction form
    8,786.52/12,128.22 = 5,805/x
  3. Step 3: Cross multiply
    8,786.52x = 12,128.22 × 5,805
  4. Step 4: Simplify right side
    8,786.52x = 70,404,317.10
  5. Step 5: Solve for x
    x = 70,404,317.10/8,786.52
  6. Step 6: Final answer
    x = 8,012.76

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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.