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Finding the Fourth Proportional to 10,932.87, 16,408.04 and 5,669.38

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Solution

The fourth proportional to 10,932.87, 16,408.04 and 5,669.38 is: 8,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.87 : 16,408.04 = 5,669.38 : x
  2. Step 2: Convert to fraction form
    10,932.87/16,408.04 = 5,669.38/x
  3. Step 3: Cross multiply
    10,932.87x = 16,408.04 × 5,669.38
  4. Step 4: Simplify right side
    10,932.87x = 93,023,413.82
  5. Step 5: Solve for x
    x = 93,023,413.82/10,932.87
  6. Step 6: Final answer
    x = 8,508.60

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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.