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Finding the Fourth Proportional to 7,612.63, 11,418.68 and 2,682.16

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Solution

The fourth proportional to 7,612.63, 11,418.68 and 2,682.16 is: 4,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.63 : 11,418.68 = 2,682.16 : x
  2. Step 2: Convert to fraction form
    7,612.63/11,418.68 = 2,682.16/x
  3. Step 3: Cross multiply
    7,612.63x = 11,418.68 × 2,682.16
  4. Step 4: Simplify right side
    7,612.63x = 30,626,744.37
  5. Step 5: Solve for x
    x = 30,626,744.37/7,612.63
  6. Step 6: Final answer
    x = 4,023.15

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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.