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Finding the Fourth Proportional to 8,630.46, 12,942.45 and 2,785.50

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Solution

The fourth proportional to 8,630.46, 12,942.45 and 2,785.50 is: 4,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630.46 : 12,942.45 = 2,785.50 : x
  2. Step 2: Convert to fraction form
    8,630.46/12,942.45 = 2,785.50/x
  3. Step 3: Cross multiply
    8,630.46x = 12,942.45 × 2,785.50
  4. Step 4: Simplify right side
    8,630.46x = 36,051,194.48
  5. Step 5: Solve for x
    x = 36,051,194.48/8,630.46
  6. Step 6: Final answer
    x = 4,177.20

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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.