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Finding the Fourth Proportional to 6,827.22, 10,242.18 and 2,443.50

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Solution

The fourth proportional to 6,827.22, 10,242.18 and 2,443.50 is: 3,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.22 : 10,242.18 = 2,443.50 : x
  2. Step 2: Convert to fraction form
    6,827.22/10,242.18 = 2,443.50/x
  3. Step 3: Cross multiply
    6,827.22x = 10,242.18 × 2,443.50
  4. Step 4: Simplify right side
    6,827.22x = 25,026,766.83
  5. Step 5: Solve for x
    x = 25,026,766.83/6,827.22
  6. Step 6: Final answer
    x = 3,665.73

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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.