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Finding the Fourth Proportional to 10,500.75, 14,491.08 and 6,251.97

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Solution

The fourth proportional to 10,500.75, 14,491.08 and 6,251.97 is: 8,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.75 : 14,491.08 = 6,251.97 : x
  2. Step 2: Convert to fraction form
    10,500.75/14,491.08 = 6,251.97/x
  3. Step 3: Cross multiply
    10,500.75x = 14,491.08 × 6,251.97
  4. Step 4: Simplify right side
    10,500.75x = 90,597,813.81
  5. Step 5: Solve for x
    x = 90,597,813.81/10,500.75
  6. Step 6: Final answer
    x = 8,627.75

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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.