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Finding the Fourth Proportional to 10,442.67, 14,408.79 and 5,967.90

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Solution

The fourth proportional to 10,442.67, 14,408.79 and 5,967.90 is: 8,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.67 : 14,408.79 = 5,967.90 : x
  2. Step 2: Convert to fraction form
    10,442.67/14,408.79 = 5,967.90/x
  3. Step 3: Cross multiply
    10,442.67x = 14,408.79 × 5,967.90
  4. Step 4: Simplify right side
    10,442.67x = 85,990,217.84
  5. Step 5: Solve for x
    x = 85,990,217.84/10,442.67
  6. Step 6: Final answer
    x = 8,234.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.