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Finding the Fourth Proportional to 8,164.36, 12,244.89 and 4,002.58

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Solution

The fourth proportional to 8,164.36, 12,244.89 and 4,002.58 is: 6,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.36 : 12,244.89 = 4,002.58 : x
  2. Step 2: Convert to fraction form
    8,164.36/12,244.89 = 4,002.58/x
  3. Step 3: Cross multiply
    8,164.36x = 12,244.89 × 4,002.58
  4. Step 4: Simplify right side
    8,164.36x = 49,011,090.59
  5. Step 5: Solve for x
    x = 49,011,090.59/8,164.36
  6. Step 6: Final answer
    x = 6,003.06

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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.