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Finding the Fourth Proportional to 11,506.90, 17,249.41 and 7,335.20

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Solution

The fourth proportional to 11,506.90, 17,249.41 and 7,335.20 is: 10,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.90 : 17,249.41 = 7,335.20 : x
  2. Step 2: Convert to fraction form
    11,506.90/17,249.41 = 7,335.20/x
  3. Step 3: Cross multiply
    11,506.90x = 17,249.41 × 7,335.20
  4. Step 4: Simplify right side
    11,506.90x = 126,527,749.31
  5. Step 5: Solve for x
    x = 126,527,749.31/11,506.90
  6. Step 6: Final answer
    x = 10,995.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.