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Finding the Fourth Proportional to 8,291.96, 12,443.06 and 3,361.64

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Solution

The fourth proportional to 8,291.96, 12,443.06 and 3,361.64 is: 5,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.96 : 12,443.06 = 3,361.64 : x
  2. Step 2: Convert to fraction form
    8,291.96/12,443.06 = 3,361.64/x
  3. Step 3: Cross multiply
    8,291.96x = 12,443.06 × 3,361.64
  4. Step 4: Simplify right side
    8,291.96x = 41,829,088.22
  5. Step 5: Solve for x
    x = 41,829,088.22/8,291.96
  6. Step 6: Final answer
    x = 5,044.54

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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.