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Finding the Fourth Proportional to 10,198.86, 14,074.22 and 5,599.58

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Solution

The fourth proportional to 10,198.86, 14,074.22 and 5,599.58 is: 7,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.86 : 14,074.22 = 5,599.58 : x
  2. Step 2: Convert to fraction form
    10,198.86/14,074.22 = 5,599.58/x
  3. Step 3: Cross multiply
    10,198.86x = 14,074.22 × 5,599.58
  4. Step 4: Simplify right side
    10,198.86x = 78,809,720.83
  5. Step 5: Solve for x
    x = 78,809,720.83/10,198.86
  6. Step 6: Final answer
    x = 7,727.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.