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Finding the Fourth Proportional to 11,023.14, 15,201.64 and 8,501.20

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Solution

The fourth proportional to 11,023.14, 15,201.64 and 8,501.20 is: 11,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.14 : 15,201.64 = 8,501.20 : x
  2. Step 2: Convert to fraction form
    11,023.14/15,201.64 = 8,501.20/x
  3. Step 3: Cross multiply
    11,023.14x = 15,201.64 × 8,501.20
  4. Step 4: Simplify right side
    11,023.14x = 129,232,181.97
  5. Step 5: Solve for x
    x = 129,232,181.97/11,023.14
  6. Step 6: Final answer
    x = 11,723.72

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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.