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Finding the Fourth Proportional to 7,340.88, 11,019.96 and 2,961.48

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Solution

The fourth proportional to 7,340.88, 11,019.96 and 2,961.48 is: 4,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.88 : 11,019.96 = 2,961.48 : x
  2. Step 2: Convert to fraction form
    7,340.88/11,019.96 = 2,961.48/x
  3. Step 3: Cross multiply
    7,340.88x = 11,019.96 × 2,961.48
  4. Step 4: Simplify right side
    7,340.88x = 32,635,391.14
  5. Step 5: Solve for x
    x = 32,635,391.14/7,340.88
  6. Step 6: Final answer
    x = 4,445.71

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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.