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Finding the Fourth Proportional to 8,155.26, 11,248.44 and 7,485.24

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Solution

The fourth proportional to 8,155.26, 11,248.44 and 7,485.24 is: 10,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.26 : 11,248.44 = 7,485.24 : x
  2. Step 2: Convert to fraction form
    8,155.26/11,248.44 = 7,485.24/x
  3. Step 3: Cross multiply
    8,155.26x = 11,248.44 × 7,485.24
  4. Step 4: Simplify right side
    8,155.26x = 84,197,287.14
  5. Step 5: Solve for x
    x = 84,197,287.14/8,155.26
  6. Step 6: Final answer
    x = 10,324.29

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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.