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Finding the Fourth Proportional to 7,707.65, 10,636.54 and 4,170.86

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Solution

The fourth proportional to 7,707.65, 10,636.54 and 4,170.86 is: 5,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.65 : 10,636.54 = 4,170.86 : x
  2. Step 2: Convert to fraction form
    7,707.65/10,636.54 = 4,170.86/x
  3. Step 3: Cross multiply
    7,707.65x = 10,636.54 × 4,170.86
  4. Step 4: Simplify right side
    7,707.65x = 44,363,519.22
  5. Step 5: Solve for x
    x = 44,363,519.22/7,707.65
  6. Step 6: Final answer
    x = 5,755.78

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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.