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Finding the Fourth Proportional to 11,012.75, 15,197.82 and 6,232.69

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Solution

The fourth proportional to 11,012.75, 15,197.82 and 6,232.69 is: 8,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.75 : 15,197.82 = 6,232.69 : x
  2. Step 2: Convert to fraction form
    11,012.75/15,197.82 = 6,232.69/x
  3. Step 3: Cross multiply
    11,012.75x = 15,197.82 × 6,232.69
  4. Step 4: Simplify right side
    11,012.75x = 94,723,272.59
  5. Step 5: Solve for x
    x = 94,723,272.59/11,012.75
  6. Step 6: Final answer
    x = 8,601.24

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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.