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Finding the Fourth Proportional to 7,711.33, 11,512.22 and 7,437.96

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Solution

The fourth proportional to 7,711.33, 11,512.22 and 7,437.96 is: 11,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.33 : 11,512.22 = 7,437.96 : x
  2. Step 2: Convert to fraction form
    7,711.33/11,512.22 = 7,437.96/x
  3. Step 3: Cross multiply
    7,711.33x = 11,512.22 × 7,437.96
  4. Step 4: Simplify right side
    7,711.33x = 85,627,431.87
  5. Step 5: Solve for x
    x = 85,627,431.87/7,711.33
  6. Step 6: Final answer
    x = 11,104.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.