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Finding the Fourth Proportional to 7,644.66, 10,549.02 and 4,286.71

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Solution

The fourth proportional to 7,644.66, 10,549.02 and 4,286.71 is: 5,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.66 : 10,549.02 = 4,286.71 : x
  2. Step 2: Convert to fraction form
    7,644.66/10,549.02 = 4,286.71/x
  3. Step 3: Cross multiply
    7,644.66x = 10,549.02 × 4,286.71
  4. Step 4: Simplify right side
    7,644.66x = 45,220,589.52
  5. Step 5: Solve for x
    x = 45,220,589.52/7,644.66
  6. Step 6: Final answer
    x = 5,915.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.