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Finding the Fourth Proportional to 11,497.28, 17,233.29 and 6,556.01

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Solution

The fourth proportional to 11,497.28, 17,233.29 and 6,556.01 is: 9,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.28 : 17,233.29 = 6,556.01 : x
  2. Step 2: Convert to fraction form
    11,497.28/17,233.29 = 6,556.01/x
  3. Step 3: Cross multiply
    11,497.28x = 17,233.29 × 6,556.01
  4. Step 4: Simplify right side
    11,497.28x = 112,981,535.41
  5. Step 5: Solve for x
    x = 112,981,535.41/11,497.28
  6. Step 6: Final answer
    x = 9,826.81

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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.