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Finding the Fourth Proportional to 8,143.54, 12,215.34 and 3,462.88

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Solution

The fourth proportional to 8,143.54, 12,215.34 and 3,462.88 is: 5,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.54 : 12,215.34 = 3,462.88 : x
  2. Step 2: Convert to fraction form
    8,143.54/12,215.34 = 3,462.88/x
  3. Step 3: Cross multiply
    8,143.54x = 12,215.34 × 3,462.88
  4. Step 4: Simplify right side
    8,143.54x = 42,300,256.58
  5. Step 5: Solve for x
    x = 42,300,256.58/8,143.54
  6. Step 6: Final answer
    x = 5,194.33

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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.