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Finding the Fourth Proportional to 7,745.80, 11,615.18 and 5,406.86

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Solution

The fourth proportional to 7,745.80, 11,615.18 and 5,406.86 is: 8,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.80 : 11,615.18 = 5,406.86 : x
  2. Step 2: Convert to fraction form
    7,745.80/11,615.18 = 5,406.86/x
  3. Step 3: Cross multiply
    7,745.80x = 11,615.18 × 5,406.86
  4. Step 4: Simplify right side
    7,745.80x = 62,801,652.13
  5. Step 5: Solve for x
    x = 62,801,652.13/7,745.80
  6. Step 6: Final answer
    x = 8,107.83

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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.