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Finding the Fourth Proportional to 11,661.69, 17,492.54 and 2,896.61

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Solution

The fourth proportional to 11,661.69, 17,492.54 and 2,896.61 is: 4,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.69 : 17,492.54 = 2,896.61 : x
  2. Step 2: Convert to fraction form
    11,661.69/17,492.54 = 2,896.61/x
  3. Step 3: Cross multiply
    11,661.69x = 17,492.54 × 2,896.61
  4. Step 4: Simplify right side
    11,661.69x = 50,669,079.03
  5. Step 5: Solve for x
    x = 50,669,079.03/11,661.69
  6. Step 6: Final answer
    x = 4,344.92

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Why These Related Problems?

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