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Finding the Fourth Proportional to 11,907.63, 17,857.61 and 4,008

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Solution

The fourth proportional to 11,907.63, 17,857.61 and 4,008 is: 6,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.63 : 17,857.61 = 4,008 : x
  2. Step 2: Convert to fraction form
    11,907.63/17,857.61 = 4,008/x
  3. Step 3: Cross multiply
    11,907.63x = 17,857.61 × 4,008
  4. Step 4: Simplify right side
    11,907.63x = 71,573,280.84
  5. Step 5: Solve for x
    x = 71,573,280.84/11,907.63
  6. Step 6: Final answer
    x = 6,010.71

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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.