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Finding the Fourth Proportional to 8,143.12, 12,212.24 and 3,463.09

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Solution

The fourth proportional to 8,143.12, 12,212.24 and 3,463.09 is: 5,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.12 : 12,212.24 = 3,463.09 : x
  2. Step 2: Convert to fraction form
    8,143.12/12,212.24 = 3,463.09/x
  3. Step 3: Cross multiply
    8,143.12x = 12,212.24 × 3,463.09
  4. Step 4: Simplify right side
    8,143.12x = 42,292,068.91
  5. Step 5: Solve for x
    x = 42,292,068.91/8,143.12
  6. Step 6: Final answer
    x = 5,193.60

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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.