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Finding the Fourth Proportional to 7,764.80, 11,653.60 and 3,611.20

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Solution

The fourth proportional to 7,764.80, 11,653.60 and 3,611.20 is: 5,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.80 : 11,653.60 = 3,611.20 : x
  2. Step 2: Convert to fraction form
    7,764.80/11,653.60 = 3,611.20/x
  3. Step 3: Cross multiply
    7,764.80x = 11,653.60 × 3,611.20
  4. Step 4: Simplify right side
    7,764.80x = 42,083,480.32
  5. Step 5: Solve for x
    x = 42,083,480.32/7,764.80
  6. Step 6: Final answer
    x = 5,419.78

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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.