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Finding the Fourth Proportional to 10,616.41, 15,922.81 and 3,219.11

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Solution

The fourth proportional to 10,616.41, 15,922.81 and 3,219.11 is: 4,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.41 : 15,922.81 = 3,219.11 : x
  2. Step 2: Convert to fraction form
    10,616.41/15,922.81 = 3,219.11/x
  3. Step 3: Cross multiply
    10,616.41x = 15,922.81 × 3,219.11
  4. Step 4: Simplify right side
    10,616.41x = 51,257,276.90
  5. Step 5: Solve for x
    x = 51,257,276.90/10,616.41
  6. Step 6: Final answer
    x = 4,828.12

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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.