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Finding the Fourth Proportional to 10,808.50, 16,214.10 and 3,883

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Solution

The fourth proportional to 10,808.50, 16,214.10 and 3,883 is: 5,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.50 : 16,214.10 = 3,883 : x
  2. Step 2: Convert to fraction form
    10,808.50/16,214.10 = 3,883/x
  3. Step 3: Cross multiply
    10,808.50x = 16,214.10 × 3,883
  4. Step 4: Simplify right side
    10,808.50x = 62,959,350.30
  5. Step 5: Solve for x
    x = 62,959,350.30/10,808.50
  6. Step 6: Final answer
    x = 5,824.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.