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Finding the Fourth Proportional to 11,018.26, 15,205 and 6,542.20

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Solution

The fourth proportional to 11,018.26, 15,205 and 6,542.20 is: 9,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,018.26 : 15,205 = 6,542.20 : x
  2. Step 2: Convert to fraction form
    11,018.26/15,205 = 6,542.20/x
  3. Step 3: Cross multiply
    11,018.26x = 15,205 × 6,542.20
  4. Step 4: Simplify right side
    11,018.26x = 99,474,151
  5. Step 5: Solve for x
    x = 99,474,151/11,018.26
  6. Step 6: Final answer
    x = 9,028.12

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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.