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Finding the Fourth Proportional to 8,214.80, 11,336.90 and 5,071.04

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Solution

The fourth proportional to 8,214.80, 11,336.90 and 5,071.04 is: 6,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.80 : 11,336.90 = 5,071.04 : x
  2. Step 2: Convert to fraction form
    8,214.80/11,336.90 = 5,071.04/x
  3. Step 3: Cross multiply
    8,214.80x = 11,336.90 × 5,071.04
  4. Step 4: Simplify right side
    8,214.80x = 57,489,791.34
  5. Step 5: Solve for x
    x = 57,489,791.34/8,214.80
  6. Step 6: Final answer
    x = 6,998.32

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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.