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Finding the Fourth Proportional to 7,707.68, 10,636.60 and 4,170.88

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Solution

The fourth proportional to 7,707.68, 10,636.60 and 4,170.88 is: 5,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.68 : 10,636.60 = 4,170.88 : x
  2. Step 2: Convert to fraction form
    7,707.68/10,636.60 = 4,170.88/x
  3. Step 3: Cross multiply
    7,707.68x = 10,636.60 × 4,170.88
  4. Step 4: Simplify right side
    7,707.68x = 44,363,982.21
  5. Step 5: Solve for x
    x = 44,363,982.21/7,707.68
  6. Step 6: Final answer
    x = 5,755.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.