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Finding the Fourth Proportional to 7,764.44, 11,644.94 and 2,498.04

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Solution

The fourth proportional to 7,764.44, 11,644.94 and 2,498.04 is: 3,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.44 : 11,644.94 = 2,498.04 : x
  2. Step 2: Convert to fraction form
    7,764.44/11,644.94 = 2,498.04/x
  3. Step 3: Cross multiply
    7,764.44x = 11,644.94 × 2,498.04
  4. Step 4: Simplify right side
    7,764.44x = 29,089,525.92
  5. Step 5: Solve for x
    x = 29,089,525.92/7,764.44
  6. Step 6: Final answer
    x = 3,746.51

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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.