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Finding the Fourth Proportional to 6,816.63, 10,226.13 and 2,658.90

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Solution

The fourth proportional to 6,816.63, 10,226.13 and 2,658.90 is: 3,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.63 : 10,226.13 = 2,658.90 : x
  2. Step 2: Convert to fraction form
    6,816.63/10,226.13 = 2,658.90/x
  3. Step 3: Cross multiply
    6,816.63x = 10,226.13 × 2,658.90
  4. Step 4: Simplify right side
    6,816.63x = 27,190,257.06
  5. Step 5: Solve for x
    x = 27,190,257.06/6,816.63
  6. Step 6: Final answer
    x = 3,988.81

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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.