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Finding the Fourth Proportional to 10,923.12, 16,383.06 and 3,996

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Solution

The fourth proportional to 10,923.12, 16,383.06 and 3,996 is: 5,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.12 : 16,383.06 = 3,996 : x
  2. Step 2: Convert to fraction form
    10,923.12/16,383.06 = 3,996/x
  3. Step 3: Cross multiply
    10,923.12x = 16,383.06 × 3,996
  4. Step 4: Simplify right side
    10,923.12x = 65,466,707.76
  5. Step 5: Solve for x
    x = 65,466,707.76/10,923.12
  6. Step 6: Final answer
    x = 5,993.41

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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.