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Finding the Fourth Proportional to 7,781.26, 11,665.34 and 3,619.14

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Solution

The fourth proportional to 7,781.26, 11,665.34 and 3,619.14 is: 5,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.26 : 11,665.34 = 3,619.14 : x
  2. Step 2: Convert to fraction form
    7,781.26/11,665.34 = 3,619.14/x
  3. Step 3: Cross multiply
    7,781.26x = 11,665.34 × 3,619.14
  4. Step 4: Simplify right side
    7,781.26x = 42,218,480.51
  5. Step 5: Solve for x
    x = 42,218,480.51/7,781.26
  6. Step 6: Final answer
    x = 5,425.66

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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.