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Finding the Fourth Proportional to 8,092.84, 12,137.16 and 5,746

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Solution

The fourth proportional to 8,092.84, 12,137.16 and 5,746 is: 8,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.84 : 12,137.16 = 5,746 : x
  2. Step 2: Convert to fraction form
    8,092.84/12,137.16 = 5,746/x
  3. Step 3: Cross multiply
    8,092.84x = 12,137.16 × 5,746
  4. Step 4: Simplify right side
    8,092.84x = 69,740,121.36
  5. Step 5: Solve for x
    x = 69,740,121.36/8,092.84
  6. Step 6: Final answer
    x = 8,617.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.