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Finding the Fourth Proportional to 8,517.78, 12,776.73 and 2,971.10

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Solution

The fourth proportional to 8,517.78, 12,776.73 and 2,971.10 is: 4,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.78 : 12,776.73 = 2,971.10 : x
  2. Step 2: Convert to fraction form
    8,517.78/12,776.73 = 2,971.10/x
  3. Step 3: Cross multiply
    8,517.78x = 12,776.73 × 2,971.10
  4. Step 4: Simplify right side
    8,517.78x = 37,960,942.50
  5. Step 5: Solve for x
    x = 37,960,942.50/8,517.78
  6. Step 6: Final answer
    x = 4,456.67

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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.