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Finding the Fourth Proportional to 7,309.13, 10,078.81 and 5,891.33

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Solution

The fourth proportional to 7,309.13, 10,078.81 and 5,891.33 is: 8,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.13 : 10,078.81 = 5,891.33 : x
  2. Step 2: Convert to fraction form
    7,309.13/10,078.81 = 5,891.33/x
  3. Step 3: Cross multiply
    7,309.13x = 10,078.81 × 5,891.33
  4. Step 4: Simplify right side
    7,309.13x = 59,377,545.32
  5. Step 5: Solve for x
    x = 59,377,545.32/7,309.13
  6. Step 6: Final answer
    x = 8,123.75

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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.