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Finding the Fourth Proportional to 10,217.81, 15,324.28 and 2,822.11

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Solution

The fourth proportional to 10,217.81, 15,324.28 and 2,822.11 is: 4,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.81 : 15,324.28 = 2,822.11 : x
  2. Step 2: Convert to fraction form
    10,217.81/15,324.28 = 2,822.11/x
  3. Step 3: Cross multiply
    10,217.81x = 15,324.28 × 2,822.11
  4. Step 4: Simplify right side
    10,217.81x = 43,246,803.83
  5. Step 5: Solve for x
    x = 43,246,803.83/10,217.81
  6. Step 6: Final answer
    x = 4,232.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.