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Finding the Fourth Proportional to 7,745.21, 11,587.40 and 5,976.86

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Solution

The fourth proportional to 7,745.21, 11,587.40 and 5,976.86 is: 8,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.21 : 11,587.40 = 5,976.86 : x
  2. Step 2: Convert to fraction form
    7,745.21/11,587.40 = 5,976.86/x
  3. Step 3: Cross multiply
    7,745.21x = 11,587.40 × 5,976.86
  4. Step 4: Simplify right side
    7,745.21x = 69,256,235.78
  5. Step 5: Solve for x
    x = 69,256,235.78/7,745.21
  6. Step 6: Final answer
    x = 8,941.81

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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.