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Finding the Fourth Proportional to 8,466.15, 12,694.89 and 3,534.46

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Solution

The fourth proportional to 8,466.15, 12,694.89 and 3,534.46 is: 5,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.15 : 12,694.89 = 3,534.46 : x
  2. Step 2: Convert to fraction form
    8,466.15/12,694.89 = 3,534.46/x
  3. Step 3: Cross multiply
    8,466.15x = 12,694.89 × 3,534.46
  4. Step 4: Simplify right side
    8,466.15x = 44,869,580.91
  5. Step 5: Solve for x
    x = 44,869,580.91/8,466.15
  6. Step 6: Final answer
    x = 5,299.88

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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.