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Finding the Fourth Proportional to 8,169.96, 12,258.44 and 3,491.00

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Solution

The fourth proportional to 8,169.96, 12,258.44 and 3,491.00 is: 5,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.96 : 12,258.44 = 3,491.00 : x
  2. Step 2: Convert to fraction form
    8,169.96/12,258.44 = 3,491.00/x
  3. Step 3: Cross multiply
    8,169.96x = 12,258.44 × 3,491.00
  4. Step 4: Simplify right side
    8,169.96x = 42,794,194.35
  5. Step 5: Solve for x
    x = 42,794,194.35/8,169.96
  6. Step 6: Final answer
    x = 5,237.99

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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.