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Finding the Fourth Proportional to 8,627.29, 11,906.42 and 5,089.81

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Solution

The fourth proportional to 8,627.29, 11,906.42 and 5,089.81 is: 7,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.29 : 11,906.42 = 5,089.81 : x
  2. Step 2: Convert to fraction form
    8,627.29/11,906.42 = 5,089.81/x
  3. Step 3: Cross multiply
    8,627.29x = 11,906.42 × 5,089.81
  4. Step 4: Simplify right side
    8,627.29x = 60,601,415.58
  5. Step 5: Solve for x
    x = 60,601,415.58/8,627.29
  6. Step 6: Final answer
    x = 7,024.39

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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.