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Finding the Fourth Proportional to 7,657.25, 11,488.61 and 3,764.39

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Solution

The fourth proportional to 7,657.25, 11,488.61 and 3,764.39 is: 5,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.25 : 11,488.61 = 3,764.39 : x
  2. Step 2: Convert to fraction form
    7,657.25/11,488.61 = 3,764.39/x
  3. Step 3: Cross multiply
    7,657.25x = 11,488.61 × 3,764.39
  4. Step 4: Simplify right side
    7,657.25x = 43,247,608.60
  5. Step 5: Solve for x
    x = 43,247,608.60/7,657.25
  6. Step 6: Final answer
    x = 5,647.93

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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.