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Finding the Fourth Proportional to 7,717.26, 11,573.48 and 2,786.25

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Solution

The fourth proportional to 7,717.26, 11,573.48 and 2,786.25 is: 4,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.26 : 11,573.48 = 2,786.25 : x
  2. Step 2: Convert to fraction form
    7,717.26/11,573.48 = 2,786.25/x
  3. Step 3: Cross multiply
    7,717.26x = 11,573.48 × 2,786.25
  4. Step 4: Simplify right side
    7,717.26x = 32,246,594.72
  5. Step 5: Solve for x
    x = 32,246,594.72/7,717.26
  6. Step 6: Final answer
    x = 4,178.50

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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.