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Finding the Fourth Proportional to 8,152.77, 12,229.14 and 3,223.59

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Solution

The fourth proportional to 8,152.77, 12,229.14 and 3,223.59 is: 4,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.77 : 12,229.14 = 3,223.59 : x
  2. Step 2: Convert to fraction form
    8,152.77/12,229.14 = 3,223.59/x
  3. Step 3: Cross multiply
    8,152.77x = 12,229.14 × 3,223.59
  4. Step 4: Simplify right side
    8,152.77x = 39,421,733.41
  5. Step 5: Solve for x
    x = 39,421,733.41/8,152.77
  6. Step 6: Final answer
    x = 4,835.38

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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.