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Finding the Fourth Proportional to 7,657.80, 11,480.21 and 3,496.35

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Solution

The fourth proportional to 7,657.80, 11,480.21 and 3,496.35 is: 5,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.80 : 11,480.21 = 3,496.35 : x
  2. Step 2: Convert to fraction form
    7,657.80/11,480.21 = 3,496.35/x
  3. Step 3: Cross multiply
    7,657.80x = 11,480.21 × 3,496.35
  4. Step 4: Simplify right side
    7,657.80x = 40,138,832.23
  5. Step 5: Solve for x
    x = 40,138,832.23/7,657.80
  6. Step 6: Final answer
    x = 5,241.56

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