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Finding the Fourth Proportional to 7,745.27, 10,690.94 and 4,950.77

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Solution

The fourth proportional to 7,745.27, 10,690.94 and 4,950.77 is: 6,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.27 : 10,690.94 = 4,950.77 : x
  2. Step 2: Convert to fraction form
    7,745.27/10,690.94 = 4,950.77/x
  3. Step 3: Cross multiply
    7,745.27x = 10,690.94 × 4,950.77
  4. Step 4: Simplify right side
    7,745.27x = 52,928,360.27
  5. Step 5: Solve for x
    x = 52,928,360.27/7,745.27
  6. Step 6: Final answer
    x = 6,833.64

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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.