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Finding the Fourth Proportional to 7,180.64, 10,764.44 and 2,562.56

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Solution

The fourth proportional to 7,180.64, 10,764.44 and 2,562.56 is: 3,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.64 : 10,764.44 = 2,562.56 : x
  2. Step 2: Convert to fraction form
    7,180.64/10,764.44 = 2,562.56/x
  3. Step 3: Cross multiply
    7,180.64x = 10,764.44 × 2,562.56
  4. Step 4: Simplify right side
    7,180.64x = 27,584,523.37
  5. Step 5: Solve for x
    x = 27,584,523.37/7,180.64
  6. Step 6: Final answer
    x = 3,841.51

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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.