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Finding the Fourth Proportional to 8,143.64, 12,215.82 and 3,458.96

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Solution

The fourth proportional to 8,143.64, 12,215.82 and 3,458.96 is: 5,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.64 : 12,215.82 = 3,458.96 : x
  2. Step 2: Convert to fraction form
    8,143.64/12,215.82 = 3,458.96/x
  3. Step 3: Cross multiply
    8,143.64x = 12,215.82 × 3,458.96
  4. Step 4: Simplify right side
    8,143.64x = 42,254,032.75
  5. Step 5: Solve for x
    x = 42,254,032.75/8,143.64
  6. Step 6: Final answer
    x = 5,188.59

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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.