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Finding the Fourth Proportional to 7,744, 10,686.32 and 4,207.12

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Solution

The fourth proportional to 7,744, 10,686.32 and 4,207.12 is: 5,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744 : 10,686.32 = 4,207.12 : x
  2. Step 2: Convert to fraction form
    7,744/10,686.32 = 4,207.12/x
  3. Step 3: Cross multiply
    7,744x = 10,686.32 × 4,207.12
  4. Step 4: Simplify right side
    7,744x = 44,958,630.60
  5. Step 5: Solve for x
    x = 44,958,630.60/7,744
  6. Step 6: Final answer
    x = 5,805.61

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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.