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Finding the Fourth Proportional to 7,707.50, 10,636.38 and 4,170.71

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Solution

The fourth proportional to 7,707.50, 10,636.38 and 4,170.71 is: 5,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.50 : 10,636.38 = 4,170.71 : x
  2. Step 2: Convert to fraction form
    7,707.50/10,636.38 = 4,170.71/x
  3. Step 3: Cross multiply
    7,707.50x = 10,636.38 × 4,170.71
  4. Step 4: Simplify right side
    7,707.50x = 44,361,228.03
  5. Step 5: Solve for x
    x = 44,361,228.03/7,707.50
  6. Step 6: Final answer
    x = 5,755.59

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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.