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Finding the Fourth Proportional to 7,706.37, 10,634.70 and 4,169.52

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Solution

The fourth proportional to 7,706.37, 10,634.70 and 4,169.52 is: 5,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.37 : 10,634.70 = 4,169.52 : x
  2. Step 2: Convert to fraction form
    7,706.37/10,634.70 = 4,169.52/x
  3. Step 3: Cross multiply
    7,706.37x = 10,634.70 × 4,169.52
  4. Step 4: Simplify right side
    7,706.37x = 44,341,594.34
  5. Step 5: Solve for x
    x = 44,341,594.34/7,706.37
  6. Step 6: Final answer
    x = 5,753.89

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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.