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Finding the Fourth Proportional to 8,843, 12,203.94 and 5,117

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Solution

The fourth proportional to 8,843, 12,203.94 and 5,117 is: 7,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,843 : 12,203.94 = 5,117 : x
  2. Step 2: Convert to fraction form
    8,843/12,203.94 = 5,117/x
  3. Step 3: Cross multiply
    8,843x = 12,203.94 × 5,117
  4. Step 4: Simplify right side
    8,843x = 62,447,560.98
  5. Step 5: Solve for x
    x = 62,447,560.98/8,843
  6. Step 6: Final answer
    x = 7,061.81

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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.