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Finding the Fourth Proportional to 7,706.25, 10,634.54 and 4,169.38

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Solution

The fourth proportional to 7,706.25, 10,634.54 and 4,169.38 is: 5,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.25 : 10,634.54 = 4,169.38 : x
  2. Step 2: Convert to fraction form
    7,706.25/10,634.54 = 4,169.38/x
  3. Step 3: Cross multiply
    7,706.25x = 10,634.54 × 4,169.38
  4. Step 4: Simplify right side
    7,706.25x = 44,339,438.39
  5. Step 5: Solve for x
    x = 44,339,438.39/7,706.25
  6. Step 6: Final answer
    x = 5,753.70

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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.