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Finding the Fourth Proportional to 7,691.50, 11,538.06 and 3,530.80

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Solution

The fourth proportional to 7,691.50, 11,538.06 and 3,530.80 is: 5,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.50 : 11,538.06 = 3,530.80 : x
  2. Step 2: Convert to fraction form
    7,691.50/11,538.06 = 3,530.80/x
  3. Step 3: Cross multiply
    7,691.50x = 11,538.06 × 3,530.80
  4. Step 4: Simplify right side
    7,691.50x = 40,738,582.25
  5. Step 5: Solve for x
    x = 40,738,582.25/7,691.50
  6. Step 6: Final answer
    x = 5,296.57

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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.