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Finding the Fourth Proportional to 8,466.57, 12,701.45 and 3,786.77

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Solution

The fourth proportional to 8,466.57, 12,701.45 and 3,786.77 is: 5,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.57 : 12,701.45 = 3,786.77 : x
  2. Step 2: Convert to fraction form
    8,466.57/12,701.45 = 3,786.77/x
  3. Step 3: Cross multiply
    8,466.57x = 12,701.45 × 3,786.77
  4. Step 4: Simplify right side
    8,466.57x = 48,097,511.04
  5. Step 5: Solve for x
    x = 48,097,511.04/8,466.57
  6. Step 6: Final answer
    x = 5,680.87

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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.