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Finding the Fourth Proportional to 11,497.96, 17,249.50 and 6,301.16

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Solution

The fourth proportional to 11,497.96, 17,249.50 and 6,301.16 is: 9,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.96 : 17,249.50 = 6,301.16 : x
  2. Step 2: Convert to fraction form
    11,497.96/17,249.50 = 6,301.16/x
  3. Step 3: Cross multiply
    11,497.96x = 17,249.50 × 6,301.16
  4. Step 4: Simplify right side
    11,497.96x = 108,691,859.42
  5. Step 5: Solve for x
    x = 108,691,859.42/11,497.96
  6. Step 6: Final answer
    x = 9,453.14

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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.