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Finding the Fourth Proportional to 8,993, 12,411.96 and 5,267

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Solution

The fourth proportional to 8,993, 12,411.96 and 5,267 is: 7,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993 : 12,411.96 = 5,267 : x
  2. Step 2: Convert to fraction form
    8,993/12,411.96 = 5,267/x
  3. Step 3: Cross multiply
    8,993x = 12,411.96 × 5,267
  4. Step 4: Simplify right side
    8,993x = 65,373,793.32
  5. Step 5: Solve for x
    x = 65,373,793.32/8,993
  6. Step 6: Final answer
    x = 7,269.41

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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.