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Finding the Fourth Proportional to 7,806.24, 11,680.20 and 4,520.88

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Solution

The fourth proportional to 7,806.24, 11,680.20 and 4,520.88 is: 6,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.24 : 11,680.20 = 4,520.88 : x
  2. Step 2: Convert to fraction form
    7,806.24/11,680.20 = 4,520.88/x
  3. Step 3: Cross multiply
    7,806.24x = 11,680.20 × 4,520.88
  4. Step 4: Simplify right side
    7,806.24x = 52,804,782.58
  5. Step 5: Solve for x
    x = 52,804,782.58/7,806.24
  6. Step 6: Final answer
    x = 6,764.43

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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.