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Finding the Fourth Proportional to 8,511.50, 11,745.89 and 4,976.66

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Solution

The fourth proportional to 8,511.50, 11,745.89 and 4,976.66 is: 6,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.50 : 11,745.89 = 4,976.66 : x
  2. Step 2: Convert to fraction form
    8,511.50/11,745.89 = 4,976.66/x
  3. Step 3: Cross multiply
    8,511.50x = 11,745.89 × 4,976.66
  4. Step 4: Simplify right side
    8,511.50x = 58,455,300.93
  5. Step 5: Solve for x
    x = 58,455,300.93/8,511.50
  6. Step 6: Final answer
    x = 6,867.80

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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.