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Finding the Fourth Proportional to 8,452.80, 11,657.75 and 6,333.30

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Solution

The fourth proportional to 8,452.80, 11,657.75 and 6,333.30 is: 8,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.80 : 11,657.75 = 6,333.30 : x
  2. Step 2: Convert to fraction form
    8,452.80/11,657.75 = 6,333.30/x
  3. Step 3: Cross multiply
    8,452.80x = 11,657.75 × 6,333.30
  4. Step 4: Simplify right side
    8,452.80x = 73,832,028.08
  5. Step 5: Solve for x
    x = 73,832,028.08/8,452.80
  6. Step 6: Final answer
    x = 8,734.62

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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.