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Finding the Fourth Proportional to 6,893.82, 10,345.93 and 5,049.65

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Solution

The fourth proportional to 6,893.82, 10,345.93 and 5,049.65 is: 7,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.82 : 10,345.93 = 5,049.65 : x
  2. Step 2: Convert to fraction form
    6,893.82/10,345.93 = 5,049.65/x
  3. Step 3: Cross multiply
    6,893.82x = 10,345.93 × 5,049.65
  4. Step 4: Simplify right side
    6,893.82x = 52,243,338.67
  5. Step 5: Solve for x
    x = 52,243,338.67/6,893.82
  6. Step 6: Final answer
    x = 7,578.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.