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Finding the Fourth Proportional to 8,114.35, 12,172.77 and 3,434.38

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Solution

The fourth proportional to 8,114.35, 12,172.77 and 3,434.38 is: 5,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.35 : 12,172.77 = 3,434.38 : x
  2. Step 2: Convert to fraction form
    8,114.35/12,172.77 = 3,434.38/x
  3. Step 3: Cross multiply
    8,114.35x = 12,172.77 × 3,434.38
  4. Step 4: Simplify right side
    8,114.35x = 41,805,917.83
  5. Step 5: Solve for x
    x = 41,805,917.83/8,114.35
  6. Step 6: Final answer
    x = 5,152.10

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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.