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Finding the Fourth Proportional to 11,105.99, 15,324.78 and 7,132.48

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Solution

The fourth proportional to 11,105.99, 15,324.78 and 7,132.48 is: 9,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.99 : 15,324.78 = 7,132.48 : x
  2. Step 2: Convert to fraction form
    11,105.99/15,324.78 = 7,132.48/x
  3. Step 3: Cross multiply
    11,105.99x = 15,324.78 × 7,132.48
  4. Step 4: Simplify right side
    11,105.99x = 109,303,686.85
  5. Step 5: Solve for x
    x = 109,303,686.85/11,105.99
  6. Step 6: Final answer
    x = 9,841.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.