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Finding the Fourth Proportional to 7,540.50, 11,323.71 and 6,853.62

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Solution

The fourth proportional to 7,540.50, 11,323.71 and 6,853.62 is: 10,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.50 : 11,323.71 = 6,853.62 : x
  2. Step 2: Convert to fraction form
    7,540.50/11,323.71 = 6,853.62/x
  3. Step 3: Cross multiply
    7,540.50x = 11,323.71 × 6,853.62
  4. Step 4: Simplify right side
    7,540.50x = 77,608,405.33
  5. Step 5: Solve for x
    x = 77,608,405.33/7,540.50
  6. Step 6: Final answer
    x = 10,292.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.