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Finding the Fourth Proportional to 8,516.43, 12,774.56 and 2,969.78

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Solution

The fourth proportional to 8,516.43, 12,774.56 and 2,969.78 is: 4,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.43 : 12,774.56 = 2,969.78 : x
  2. Step 2: Convert to fraction form
    8,516.43/12,774.56 = 2,969.78/x
  3. Step 3: Cross multiply
    8,516.43x = 12,774.56 × 2,969.78
  4. Step 4: Simplify right side
    8,516.43x = 37,937,554.08
  5. Step 5: Solve for x
    x = 37,937,554.08/8,516.43
  6. Step 6: Final answer
    x = 4,454.63

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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.