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Finding the Fourth Proportional to 8,438.39, 11,644.83 and 4,661.55

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Solution

The fourth proportional to 8,438.39, 11,644.83 and 4,661.55 is: 6,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.39 : 11,644.83 = 4,661.55 : x
  2. Step 2: Convert to fraction form
    8,438.39/11,644.83 = 4,661.55/x
  3. Step 3: Cross multiply
    8,438.39x = 11,644.83 × 4,661.55
  4. Step 4: Simplify right side
    8,438.39x = 54,282,957.29
  5. Step 5: Solve for x
    x = 54,282,957.29/8,438.39
  6. Step 6: Final answer
    x = 6,432.86

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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.