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Finding the Fourth Proportional to 8,132.57, 11,224.83 and 5,295.01

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Solution

The fourth proportional to 8,132.57, 11,224.83 and 5,295.01 is: 7,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.57 : 11,224.83 = 5,295.01 : x
  2. Step 2: Convert to fraction form
    8,132.57/11,224.83 = 5,295.01/x
  3. Step 3: Cross multiply
    8,132.57x = 11,224.83 × 5,295.01
  4. Step 4: Simplify right side
    8,132.57x = 59,435,559.04
  5. Step 5: Solve for x
    x = 59,435,559.04/8,132.57
  6. Step 6: Final answer
    x = 7,308.33

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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.