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Finding the Fourth Proportional to 10,892.12, 16,334.94 and 3,965

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Solution

The fourth proportional to 10,892.12, 16,334.94 and 3,965 is: 5,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.12 : 16,334.94 = 3,965 : x
  2. Step 2: Convert to fraction form
    10,892.12/16,334.94 = 3,965/x
  3. Step 3: Cross multiply
    10,892.12x = 16,334.94 × 3,965
  4. Step 4: Simplify right side
    10,892.12x = 64,768,037.10
  5. Step 5: Solve for x
    x = 64,768,037.10/10,892.12
  6. Step 6: Final answer
    x = 5,946.32

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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.