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Finding the Fourth Proportional to 7,706.16, 10,634.45 and 4,169.30

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Solution

The fourth proportional to 7,706.16, 10,634.45 and 4,169.30 is: 5,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.16 : 10,634.45 = 4,169.30 : x
  2. Step 2: Convert to fraction form
    7,706.16/10,634.45 = 4,169.30/x
  3. Step 3: Cross multiply
    7,706.16x = 10,634.45 × 4,169.30
  4. Step 4: Simplify right side
    7,706.16x = 44,338,138.37
  5. Step 5: Solve for x
    x = 44,338,138.37/7,706.16
  6. Step 6: Final answer
    x = 5,753.60

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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.