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Finding the Fourth Proportional to 10,621.36, 15,932.13 and 3,691

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Solution

The fourth proportional to 10,621.36, 15,932.13 and 3,691 is: 5,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.36 : 15,932.13 = 3,691 : x
  2. Step 2: Convert to fraction form
    10,621.36/15,932.13 = 3,691/x
  3. Step 3: Cross multiply
    10,621.36x = 15,932.13 × 3,691
  4. Step 4: Simplify right side
    10,621.36x = 58,805,491.83
  5. Step 5: Solve for x
    x = 58,805,491.83/10,621.36
  6. Step 6: Final answer
    x = 5,536.53

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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.