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Finding the Fourth Proportional to 10,819.68, 16,223.04 and 3,895.80

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Solution

The fourth proportional to 10,819.68, 16,223.04 and 3,895.80 is: 5,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.68 : 16,223.04 = 3,895.80 : x
  2. Step 2: Convert to fraction form
    10,819.68/16,223.04 = 3,895.80/x
  3. Step 3: Cross multiply
    10,819.68x = 16,223.04 × 3,895.80
  4. Step 4: Simplify right side
    10,819.68x = 63,201,719.23
  5. Step 5: Solve for x
    x = 63,201,719.23/10,819.68
  6. Step 6: Final answer
    x = 5,841.37

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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.