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Finding the Fourth Proportional to 10,976.64, 16,462.44 and 3,579

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Solution

The fourth proportional to 10,976.64, 16,462.44 and 3,579 is: 5,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.64 : 16,462.44 = 3,579 : x
  2. Step 2: Convert to fraction form
    10,976.64/16,462.44 = 3,579/x
  3. Step 3: Cross multiply
    10,976.64x = 16,462.44 × 3,579
  4. Step 4: Simplify right side
    10,976.64x = 58,919,072.76
  5. Step 5: Solve for x
    x = 58,919,072.76/10,976.64
  6. Step 6: Final answer
    x = 5,367.68

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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.