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Finding the Fourth Proportional to 8,198.93, 11,314.49 and 4,842.51

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Solution

The fourth proportional to 8,198.93, 11,314.49 and 4,842.51 is: 6,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.93 : 11,314.49 = 4,842.51 : x
  2. Step 2: Convert to fraction form
    8,198.93/11,314.49 = 4,842.51/x
  3. Step 3: Cross multiply
    8,198.93x = 11,314.49 × 4,842.51
  4. Step 4: Simplify right side
    8,198.93x = 54,790,506.76
  5. Step 5: Solve for x
    x = 54,790,506.76/8,198.93
  6. Step 6: Final answer
    x = 6,682.65

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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.