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Finding the Fourth Proportional to 12,092.52, 18,160.44 and 7,941

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Solution

The fourth proportional to 12,092.52, 18,160.44 and 7,941 is: 11,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.52 : 18,160.44 = 7,941 : x
  2. Step 2: Convert to fraction form
    12,092.52/18,160.44 = 7,941/x
  3. Step 3: Cross multiply
    12,092.52x = 18,160.44 × 7,941
  4. Step 4: Simplify right side
    12,092.52x = 144,212,054.04
  5. Step 5: Solve for x
    x = 144,212,054.04/12,092.52
  6. Step 6: Final answer
    x = 11,925.72

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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.