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Finding the Fourth Proportional to 11,772.26, 17,664.87 and 7,158.50

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Solution

The fourth proportional to 11,772.26, 17,664.87 and 7,158.50 is: 10,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.26 : 17,664.87 = 7,158.50 : x
  2. Step 2: Convert to fraction form
    11,772.26/17,664.87 = 7,158.50/x
  3. Step 3: Cross multiply
    11,772.26x = 17,664.87 × 7,158.50
  4. Step 4: Simplify right side
    11,772.26x = 126,453,971.90
  5. Step 5: Solve for x
    x = 126,453,971.90/11,772.26
  6. Step 6: Final answer
    x = 10,741.69

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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.