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Finding the Fourth Proportional to 7,838.73, 11,751.62 and 5,367.42

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Solution

The fourth proportional to 7,838.73, 11,751.62 and 5,367.42 is: 8,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.73 : 11,751.62 = 5,367.42 : x
  2. Step 2: Convert to fraction form
    7,838.73/11,751.62 = 5,367.42/x
  3. Step 3: Cross multiply
    7,838.73x = 11,751.62 × 5,367.42
  4. Step 4: Simplify right side
    7,838.73x = 63,075,853.38
  5. Step 5: Solve for x
    x = 63,075,853.38/7,838.73
  6. Step 6: Final answer
    x = 8,046.69

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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.