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Finding the Fourth Proportional to 8,340.39, 11,511.95 and 5,194.71

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Solution

The fourth proportional to 8,340.39, 11,511.95 and 5,194.71 is: 7,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.39 : 11,511.95 = 5,194.71 : x
  2. Step 2: Convert to fraction form
    8,340.39/11,511.95 = 5,194.71/x
  3. Step 3: Cross multiply
    8,340.39x = 11,511.95 × 5,194.71
  4. Step 4: Simplify right side
    8,340.39x = 59,801,215.81
  5. Step 5: Solve for x
    x = 59,801,215.81/8,340.39
  6. Step 6: Final answer
    x = 7,170.07

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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.