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Finding the Fourth Proportional to 8,217.75, 11,333.88 and 5,232.63

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Solution

The fourth proportional to 8,217.75, 11,333.88 and 5,232.63 is: 7,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.75 : 11,333.88 = 5,232.63 : x
  2. Step 2: Convert to fraction form
    8,217.75/11,333.88 = 5,232.63/x
  3. Step 3: Cross multiply
    8,217.75x = 11,333.88 × 5,232.63
  4. Step 4: Simplify right side
    8,217.75x = 59,306,000.50
  5. Step 5: Solve for x
    x = 59,306,000.50/8,217.75
  6. Step 6: Final answer
    x = 7,216.82

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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.