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Finding the Fourth Proportional to 10,875.14, 16,311.08 and 3,478.82

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Solution

The fourth proportional to 10,875.14, 16,311.08 and 3,478.82 is: 5,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.14 : 16,311.08 = 3,478.82 : x
  2. Step 2: Convert to fraction form
    10,875.14/16,311.08 = 3,478.82/x
  3. Step 3: Cross multiply
    10,875.14x = 16,311.08 × 3,478.82
  4. Step 4: Simplify right side
    10,875.14x = 56,743,311.33
  5. Step 5: Solve for x
    x = 56,743,311.33/10,875.14
  6. Step 6: Final answer
    x = 5,217.71

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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.