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Finding the Fourth Proportional to 10,900.68, 16,347.76 and 3,879.44

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Solution

The fourth proportional to 10,900.68, 16,347.76 and 3,879.44 is: 5,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.68 : 16,347.76 = 3,879.44 : x
  2. Step 2: Convert to fraction form
    10,900.68/16,347.76 = 3,879.44/x
  3. Step 3: Cross multiply
    10,900.68x = 16,347.76 × 3,879.44
  4. Step 4: Simplify right side
    10,900.68x = 63,420,154.05
  5. Step 5: Solve for x
    x = 63,420,154.05/10,900.68
  6. Step 6: Final answer
    x = 5,818.00

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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.