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Finding the Fourth Proportional to 8,822.66, 13,224.74 and 4,138.74

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Solution

The fourth proportional to 8,822.66, 13,224.74 and 4,138.74 is: 6,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.66 : 13,224.74 = 4,138.74 : x
  2. Step 2: Convert to fraction form
    8,822.66/13,224.74 = 4,138.74/x
  3. Step 3: Cross multiply
    8,822.66x = 13,224.74 × 4,138.74
  4. Step 4: Simplify right side
    8,822.66x = 54,733,739.73
  5. Step 5: Solve for x
    x = 54,733,739.73/8,822.66
  6. Step 6: Final answer
    x = 6,203.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.