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Finding the Fourth Proportional to 7,769.93, 11,649.42 and 3,605.51

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Solution

The fourth proportional to 7,769.93, 11,649.42 and 3,605.51 is: 5,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.93 : 11,649.42 = 3,605.51 : x
  2. Step 2: Convert to fraction form
    7,769.93/11,649.42 = 3,605.51/x
  3. Step 3: Cross multiply
    7,769.93x = 11,649.42 × 3,605.51
  4. Step 4: Simplify right side
    7,769.93x = 42,002,129.43
  5. Step 5: Solve for x
    x = 42,002,129.43/7,769.93
  6. Step 6: Final answer
    x = 5,405.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.