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Finding the Fourth Proportional to 6,821.72, 10,232.60 and 5,597.60

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Solution

The fourth proportional to 6,821.72, 10,232.60 and 5,597.60 is: 8,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.72 : 10,232.60 = 5,597.60 : x
  2. Step 2: Convert to fraction form
    6,821.72/10,232.60 = 5,597.60/x
  3. Step 3: Cross multiply
    6,821.72x = 10,232.60 × 5,597.60
  4. Step 4: Simplify right side
    6,821.72x = 57,278,001.76
  5. Step 5: Solve for x
    x = 57,278,001.76/6,821.72
  6. Step 6: Final answer
    x = 8,396.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.