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Finding the Fourth Proportional to 11,871.45, 16,382.52 and 7,093.58

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Solution

The fourth proportional to 11,871.45, 16,382.52 and 7,093.58 is: 9,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.45 : 16,382.52 = 7,093.58 : x
  2. Step 2: Convert to fraction form
    11,871.45/16,382.52 = 7,093.58/x
  3. Step 3: Cross multiply
    11,871.45x = 16,382.52 × 7,093.58
  4. Step 4: Simplify right side
    11,871.45x = 116,210,634.31
  5. Step 5: Solve for x
    x = 116,210,634.31/11,871.45
  6. Step 6: Final answer
    x = 9,789.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.