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Finding the Fourth Proportional to 7,644.57, 11,439.51 and 5,989.74

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Solution

The fourth proportional to 7,644.57, 11,439.51 and 5,989.74 is: 8,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.57 : 11,439.51 = 5,989.74 : x
  2. Step 2: Convert to fraction form
    7,644.57/11,439.51 = 5,989.74/x
  3. Step 3: Cross multiply
    7,644.57x = 11,439.51 × 5,989.74
  4. Step 4: Simplify right side
    7,644.57x = 68,519,690.63
  5. Step 5: Solve for x
    x = 68,519,690.63/7,644.57
  6. Step 6: Final answer
    x = 8,963.18

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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.