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Finding the Fourth Proportional to 10,892.56, 16,341.30 and 3,967

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Solution

The fourth proportional to 10,892.56, 16,341.30 and 3,967 is: 5,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.56 : 16,341.30 = 3,967 : x
  2. Step 2: Convert to fraction form
    10,892.56/16,341.30 = 3,967/x
  3. Step 3: Cross multiply
    10,892.56x = 16,341.30 × 3,967
  4. Step 4: Simplify right side
    10,892.56x = 64,825,937.10
  5. Step 5: Solve for x
    x = 64,825,937.10/10,892.56
  6. Step 6: Final answer
    x = 5,951.40

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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.