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Finding the Fourth Proportional to 7,907.94, 11,865.20 and 3,463.31

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Solution

The fourth proportional to 7,907.94, 11,865.20 and 3,463.31 is: 5,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.94 : 11,865.20 = 3,463.31 : x
  2. Step 2: Convert to fraction form
    7,907.94/11,865.20 = 3,463.31/x
  3. Step 3: Cross multiply
    7,907.94x = 11,865.20 × 3,463.31
  4. Step 4: Simplify right side
    7,907.94x = 41,092,878.16
  5. Step 5: Solve for x
    x = 41,092,878.16/7,907.94
  6. Step 6: Final answer
    x = 5,196.41

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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.