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Finding the Fourth Proportional to 7,657.20, 11,485.80 and 2,462.94

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Solution

The fourth proportional to 7,657.20, 11,485.80 and 2,462.94 is: 3,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.20 : 11,485.80 = 2,462.94 : x
  2. Step 2: Convert to fraction form
    7,657.20/11,485.80 = 2,462.94/x
  3. Step 3: Cross multiply
    7,657.20x = 11,485.80 × 2,462.94
  4. Step 4: Simplify right side
    7,657.20x = 28,288,836.25
  5. Step 5: Solve for x
    x = 28,288,836.25/7,657.20
  6. Step 6: Final answer
    x = 3,694.41

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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.