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Finding the Fourth Proportional to 10,949.80, 16,403.10 and 6,554.20

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Solution

The fourth proportional to 10,949.80, 16,403.10 and 6,554.20 is: 9,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.80 : 16,403.10 = 6,554.20 : x
  2. Step 2: Convert to fraction form
    10,949.80/16,403.10 = 6,554.20/x
  3. Step 3: Cross multiply
    10,949.80x = 16,403.10 × 6,554.20
  4. Step 4: Simplify right side
    10,949.80x = 107,509,198.02
  5. Step 5: Solve for x
    x = 107,509,198.02/10,949.80
  6. Step 6: Final answer
    x = 9,818.37

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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.