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Finding the Fourth Proportional to 8,172.72, 12,259.46 and 2,329.72

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Solution

The fourth proportional to 8,172.72, 12,259.46 and 2,329.72 is: 3,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.72 : 12,259.46 = 2,329.72 : x
  2. Step 2: Convert to fraction form
    8,172.72/12,259.46 = 2,329.72/x
  3. Step 3: Cross multiply
    8,172.72x = 12,259.46 × 2,329.72
  4. Step 4: Simplify right side
    8,172.72x = 28,561,109.15
  5. Step 5: Solve for x
    x = 28,561,109.15/8,172.72
  6. Step 6: Final answer
    x = 3,494.69

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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.