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Finding the Fourth Proportional to 8,745.92, 13,121.04 and 2,822.80

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Solution

The fourth proportional to 8,745.92, 13,121.04 and 2,822.80 is: 4,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745.92 : 13,121.04 = 2,822.80 : x
  2. Step 2: Convert to fraction form
    8,745.92/13,121.04 = 2,822.80/x
  3. Step 3: Cross multiply
    8,745.92x = 13,121.04 × 2,822.80
  4. Step 4: Simplify right side
    8,745.92x = 37,038,071.71
  5. Step 5: Solve for x
    x = 37,038,071.71/8,745.92
  6. Step 6: Final answer
    x = 4,234.90

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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.