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Finding the Fourth Proportional to 7,707.72, 11,563.30 and 2,442.70

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Solution

The fourth proportional to 7,707.72, 11,563.30 and 2,442.70 is: 3,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.72 : 11,563.30 = 2,442.70 : x
  2. Step 2: Convert to fraction form
    7,707.72/11,563.30 = 2,442.70/x
  3. Step 3: Cross multiply
    7,707.72x = 11,563.30 × 2,442.70
  4. Step 4: Simplify right side
    7,707.72x = 28,245,651.03
  5. Step 5: Solve for x
    x = 28,245,651.03/7,707.72
  6. Step 6: Final answer
    x = 3,664.59

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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.