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Finding the Fourth Proportional to 8,287.26, 11,436.26 and 4,510.37

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Solution

The fourth proportional to 8,287.26, 11,436.26 and 4,510.37 is: 6,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.26 : 11,436.26 = 4,510.37 : x
  2. Step 2: Convert to fraction form
    8,287.26/11,436.26 = 4,510.37/x
  3. Step 3: Cross multiply
    8,287.26x = 11,436.26 × 4,510.37
  4. Step 4: Simplify right side
    8,287.26x = 51,581,684.28
  5. Step 5: Solve for x
    x = 51,581,684.28/8,287.26
  6. Step 6: Final answer
    x = 6,224.21

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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.