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Finding the Fourth Proportional to 10,840.62, 16,262.31 and 3,442.44

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Solution

The fourth proportional to 10,840.62, 16,262.31 and 3,442.44 is: 5,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.62 : 16,262.31 = 3,442.44 : x
  2. Step 2: Convert to fraction form
    10,840.62/16,262.31 = 3,442.44/x
  3. Step 3: Cross multiply
    10,840.62x = 16,262.31 × 3,442.44
  4. Step 4: Simplify right side
    10,840.62x = 55,982,026.44
  5. Step 5: Solve for x
    x = 55,982,026.44/10,840.62
  6. Step 6: Final answer
    x = 5,164.10

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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.