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Finding the Fourth Proportional to 7,744.94, 11,612.55 and 5,637.32

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Solution

The fourth proportional to 7,744.94, 11,612.55 and 5,637.32 is: 8,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.94 : 11,612.55 = 5,637.32 : x
  2. Step 2: Convert to fraction form
    7,744.94/11,612.55 = 5,637.32/x
  3. Step 3: Cross multiply
    7,744.94x = 11,612.55 × 5,637.32
  4. Step 4: Simplify right side
    7,744.94x = 65,463,660.37
  5. Step 5: Solve for x
    x = 65,463,660.37/7,744.94
  6. Step 6: Final answer
    x = 8,452.44

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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.