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Finding the Fourth Proportional to 6,813.62, 10,214.37 and 2,652.66

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Solution

The fourth proportional to 6,813.62, 10,214.37 and 2,652.66 is: 3,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.62 : 10,214.37 = 2,652.66 : x
  2. Step 2: Convert to fraction form
    6,813.62/10,214.37 = 2,652.66/x
  3. Step 3: Cross multiply
    6,813.62x = 10,214.37 × 2,652.66
  4. Step 4: Simplify right side
    6,813.62x = 27,095,222.00
  5. Step 5: Solve for x
    x = 27,095,222.00/6,813.62
  6. Step 6: Final answer
    x = 3,976.63

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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.