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Finding the Fourth Proportional to 10,504.20, 14,491.98 and 6,256.56

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Solution

The fourth proportional to 10,504.20, 14,491.98 and 6,256.56 is: 8,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.20 : 14,491.98 = 6,256.56 : x
  2. Step 2: Convert to fraction form
    10,504.20/14,491.98 = 6,256.56/x
  3. Step 3: Cross multiply
    10,504.20x = 14,491.98 × 6,256.56
  4. Step 4: Simplify right side
    10,504.20x = 90,669,942.39
  5. Step 5: Solve for x
    x = 90,669,942.39/10,504.20
  6. Step 6: Final answer
    x = 8,631.78

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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.