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Finding the Fourth Proportional to 10,297.28, 14,209.11 and 5,821.03

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Solution

The fourth proportional to 10,297.28, 14,209.11 and 5,821.03 is: 8,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.28 : 14,209.11 = 5,821.03 : x
  2. Step 2: Convert to fraction form
    10,297.28/14,209.11 = 5,821.03/x
  3. Step 3: Cross multiply
    10,297.28x = 14,209.11 × 5,821.03
  4. Step 4: Simplify right side
    10,297.28x = 82,711,655.58
  5. Step 5: Solve for x
    x = 82,711,655.58/10,297.28
  6. Step 6: Final answer
    x = 8,032.38

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Why These Related Problems?

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