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Finding the Fourth Proportional to 8,089.39, 11,168.74 and 5,069.06

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Solution

The fourth proportional to 8,089.39, 11,168.74 and 5,069.06 is: 6,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.39 : 11,168.74 = 5,069.06 : x
  2. Step 2: Convert to fraction form
    8,089.39/11,168.74 = 5,069.06/x
  3. Step 3: Cross multiply
    8,089.39x = 11,168.74 × 5,069.06
  4. Step 4: Simplify right side
    8,089.39x = 56,614,945.63
  5. Step 5: Solve for x
    x = 56,614,945.63/8,089.39
  6. Step 6: Final answer
    x = 6,998.66

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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.