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Finding the Fourth Proportional to 8,257.50, 11,395.22 and 4,720.59

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Solution

The fourth proportional to 8,257.50, 11,395.22 and 4,720.59 is: 6,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.50 : 11,395.22 = 4,720.59 : x
  2. Step 2: Convert to fraction form
    8,257.50/11,395.22 = 4,720.59/x
  3. Step 3: Cross multiply
    8,257.50x = 11,395.22 × 4,720.59
  4. Step 4: Simplify right side
    8,257.50x = 53,792,137.98
  5. Step 5: Solve for x
    x = 53,792,137.98/8,257.50
  6. Step 6: Final answer
    x = 6,514.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.