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Finding the Fourth Proportional to 11,865, 16,375.97 and 7,621.42

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Solution

The fourth proportional to 11,865, 16,375.97 and 7,621.42 is: 10,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865 : 16,375.97 = 7,621.42 : x
  2. Step 2: Convert to fraction form
    11,865/16,375.97 = 7,621.42/x
  3. Step 3: Cross multiply
    11,865x = 16,375.97 × 7,621.42
  4. Step 4: Simplify right side
    11,865x = 124,808,145.28
  5. Step 5: Solve for x
    x = 124,808,145.28/11,865
  6. Step 6: Final answer
    x = 10,519.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.