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Finding the Fourth Proportional to 6,529.18, 8,975.62 and 5,617.37

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Solution

The fourth proportional to 6,529.18, 8,975.62 and 5,617.37 is: 7,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.18 : 8,975.62 = 5,617.37 : x
  2. Step 2: Convert to fraction form
    6,529.18/8,975.62 = 5,617.37/x
  3. Step 3: Cross multiply
    6,529.18x = 8,975.62 × 5,617.37
  4. Step 4: Simplify right side
    6,529.18x = 50,419,340.66
  5. Step 5: Solve for x
    x = 50,419,340.66/6,529.18
  6. Step 6: Final answer
    x = 7,722.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.