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Finding the Fourth Proportional to 11,833.62, 17,741.08 and 5,907.47

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Solution

The fourth proportional to 11,833.62, 17,741.08 and 5,907.47 is: 8,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.62 : 17,741.08 = 5,907.47 : x
  2. Step 2: Convert to fraction form
    11,833.62/17,741.08 = 5,907.47/x
  3. Step 3: Cross multiply
    11,833.62x = 17,741.08 × 5,907.47
  4. Step 4: Simplify right side
    11,833.62x = 104,804,794.39
  5. Step 5: Solve for x
    x = 104,804,794.39/11,833.62
  6. Step 6: Final answer
    x = 8,856.53

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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.