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Finding the Fourth Proportional to 11,497.96, 17,238.97 and 5,864.69

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Solution

The fourth proportional to 11,497.96, 17,238.97 and 5,864.69 is: 8,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.96 : 17,238.97 = 5,864.69 : x
  2. Step 2: Convert to fraction form
    11,497.96/17,238.97 = 5,864.69/x
  3. Step 3: Cross multiply
    11,497.96x = 17,238.97 × 5,864.69
  4. Step 4: Simplify right side
    11,497.96x = 101,101,265.40
  5. Step 5: Solve for x
    x = 101,101,265.40/11,497.96
  6. Step 6: Final answer
    x = 8,792.98

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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.