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Finding the Fourth Proportional to 10,977.68, 16,461.92 and 6,811.44

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Solution

The fourth proportional to 10,977.68, 16,461.92 and 6,811.44 is: 10,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.68 : 16,461.92 = 6,811.44 : x
  2. Step 2: Convert to fraction form
    10,977.68/16,461.92 = 6,811.44/x
  3. Step 3: Cross multiply
    10,977.68x = 16,461.92 × 6,811.44
  4. Step 4: Simplify right side
    10,977.68x = 112,129,380.36
  5. Step 5: Solve for x
    x = 112,129,380.36/10,977.68
  6. Step 6: Final answer
    x = 10,214.31

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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.