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Finding the Fourth Proportional to 8,232.26, 11,360.77 and 4,506.26

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Solution

The fourth proportional to 8,232.26, 11,360.77 and 4,506.26 is: 6,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.26 : 11,360.77 = 4,506.26 : x
  2. Step 2: Convert to fraction form
    8,232.26/11,360.77 = 4,506.26/x
  3. Step 3: Cross multiply
    8,232.26x = 11,360.77 × 4,506.26
  4. Step 4: Simplify right side
    8,232.26x = 51,194,583.42
  5. Step 5: Solve for x
    x = 51,194,583.42/8,232.26
  6. Step 6: Final answer
    x = 6,218.78

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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.