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Finding the Fourth Proportional to 11,281.68, 16,933.46 and 5,442.39

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Solution

The fourth proportional to 11,281.68, 16,933.46 and 5,442.39 is: 8,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.68 : 16,933.46 = 5,442.39 : x
  2. Step 2: Convert to fraction form
    11,281.68/16,933.46 = 5,442.39/x
  3. Step 3: Cross multiply
    11,281.68x = 16,933.46 × 5,442.39
  4. Step 4: Simplify right side
    11,281.68x = 92,158,466.16
  5. Step 5: Solve for x
    x = 92,158,466.16/11,281.68
  6. Step 6: Final answer
    x = 8,168.86

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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.