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Finding the Fourth Proportional to 8,185.96, 12,281.21 and 3,259.06

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Solution

The fourth proportional to 8,185.96, 12,281.21 and 3,259.06 is: 4,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.96 : 12,281.21 = 3,259.06 : x
  2. Step 2: Convert to fraction form
    8,185.96/12,281.21 = 3,259.06/x
  3. Step 3: Cross multiply
    8,185.96x = 12,281.21 × 3,259.06
  4. Step 4: Simplify right side
    8,185.96x = 40,025,165.49
  5. Step 5: Solve for x
    x = 40,025,165.49/8,185.96
  6. Step 6: Final answer
    x = 4,889.49

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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.