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Finding the Fourth Proportional to 7,077.69, 10,616.49 and 3,617.37

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Solution

The fourth proportional to 7,077.69, 10,616.49 and 3,617.37 is: 5,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.69 : 10,616.49 = 3,617.37 : x
  2. Step 2: Convert to fraction form
    7,077.69/10,616.49 = 3,617.37/x
  3. Step 3: Cross multiply
    7,077.69x = 10,616.49 × 3,617.37
  4. Step 4: Simplify right side
    7,077.69x = 38,403,772.43
  5. Step 5: Solve for x
    x = 38,403,772.43/7,077.69
  6. Step 6: Final answer
    x = 5,426.03

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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.