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Finding the Fourth Proportional to 8,256.33, 12,385.44 and 2,412.92

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Solution

The fourth proportional to 8,256.33, 12,385.44 and 2,412.92 is: 3,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.33 : 12,385.44 = 2,412.92 : x
  2. Step 2: Convert to fraction form
    8,256.33/12,385.44 = 2,412.92/x
  3. Step 3: Cross multiply
    8,256.33x = 12,385.44 × 2,412.92
  4. Step 4: Simplify right side
    8,256.33x = 29,885,106.85
  5. Step 5: Solve for x
    x = 29,885,106.85/8,256.33
  6. Step 6: Final answer
    x = 3,619.66

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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.