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Finding the Fourth Proportional to 11,057.83, 15,233.01 and 8,220.30

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Solution

The fourth proportional to 11,057.83, 15,233.01 and 8,220.30 is: 11,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.83 : 15,233.01 = 8,220.30 : x
  2. Step 2: Convert to fraction form
    11,057.83/15,233.01 = 8,220.30/x
  3. Step 3: Cross multiply
    11,057.83x = 15,233.01 × 8,220.30
  4. Step 4: Simplify right side
    11,057.83x = 125,219,956.08
  5. Step 5: Solve for x
    x = 125,219,956.08/11,057.83
  6. Step 6: Final answer
    x = 11,324.10

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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.