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Finding the Fourth Proportional to 11,298.78, 16,934.74 and 8,516.27

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Solution

The fourth proportional to 11,298.78, 16,934.74 and 8,516.27 is: 12,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.78 : 16,934.74 = 8,516.27 : x
  2. Step 2: Convert to fraction form
    11,298.78/16,934.74 = 8,516.27/x
  3. Step 3: Cross multiply
    11,298.78x = 16,934.74 × 8,516.27
  4. Step 4: Simplify right side
    11,298.78x = 144,220,839.27
  5. Step 5: Solve for x
    x = 144,220,839.27/11,298.78
  6. Step 6: Final answer
    x = 12,764.28

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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.