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Finding the Fourth Proportional to 10,993.20, 16,493.44 and 7,309.92

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Solution

The fourth proportional to 10,993.20, 16,493.44 and 7,309.92 is: 10,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.20 : 16,493.44 = 7,309.92 : x
  2. Step 2: Convert to fraction form
    10,993.20/16,493.44 = 7,309.92/x
  3. Step 3: Cross multiply
    10,993.20x = 16,493.44 × 7,309.92
  4. Step 4: Simplify right side
    10,993.20x = 120,565,726.92
  5. Step 5: Solve for x
    x = 120,565,726.92/10,993.20
  6. Step 6: Final answer
    x = 10,967.30

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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.