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Finding the Fourth Proportional to 11,415.50, 17,099.66 and 6,721.05

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Solution

The fourth proportional to 11,415.50, 17,099.66 and 6,721.05 is: 10,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.50 : 17,099.66 = 6,721.05 : x
  2. Step 2: Convert to fraction form
    11,415.50/17,099.66 = 6,721.05/x
  3. Step 3: Cross multiply
    11,415.50x = 17,099.66 × 6,721.05
  4. Step 4: Simplify right side
    11,415.50x = 114,927,669.84
  5. Step 5: Solve for x
    x = 114,927,669.84/11,415.50
  6. Step 6: Final answer
    x = 10,067.69

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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.