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Finding the Fourth Proportional to 7,107.36, 9,805.77 and 4,122.11

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Solution

The fourth proportional to 7,107.36, 9,805.77 and 4,122.11 is: 5,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.36 : 9,805.77 = 4,122.11 : x
  2. Step 2: Convert to fraction form
    7,107.36/9,805.77 = 4,122.11/x
  3. Step 3: Cross multiply
    7,107.36x = 9,805.77 × 4,122.11
  4. Step 4: Simplify right side
    7,107.36x = 40,420,413.55
  5. Step 5: Solve for x
    x = 40,420,413.55/7,107.36
  6. Step 6: Final answer
    x = 5,687.12

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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.