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Finding the Fourth Proportional to 8,766.50, 12,097.78 and 5,234.50

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Solution

The fourth proportional to 8,766.50, 12,097.78 and 5,234.50 is: 7,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.50 : 12,097.78 = 5,234.50 : x
  2. Step 2: Convert to fraction form
    8,766.50/12,097.78 = 5,234.50/x
  3. Step 3: Cross multiply
    8,766.50x = 12,097.78 × 5,234.50
  4. Step 4: Simplify right side
    8,766.50x = 63,325,829.41
  5. Step 5: Solve for x
    x = 63,325,829.41/8,766.50
  6. Step 6: Final answer
    x = 7,223.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.