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Finding the Fourth Proportional to 11,014.22, 15,193.50 and 7,238

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Solution

The fourth proportional to 11,014.22, 15,193.50 and 7,238 is: 9,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.22 : 15,193.50 = 7,238 : x
  2. Step 2: Convert to fraction form
    11,014.22/15,193.50 = 7,238/x
  3. Step 3: Cross multiply
    11,014.22x = 15,193.50 × 7,238
  4. Step 4: Simplify right side
    11,014.22x = 109,970,553
  5. Step 5: Solve for x
    x = 109,970,553/11,014.22
  6. Step 6: Final answer
    x = 9,984.42

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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.