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Finding the Fourth Proportional to 8,093.84, 12,137.30 and 3,415.94

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Solution

The fourth proportional to 8,093.84, 12,137.30 and 3,415.94 is: 5,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.84 : 12,137.30 = 3,415.94 : x
  2. Step 2: Convert to fraction form
    8,093.84/12,137.30 = 3,415.94/x
  3. Step 3: Cross multiply
    8,093.84x = 12,137.30 × 3,415.94
  4. Step 4: Simplify right side
    8,093.84x = 41,460,288.56
  5. Step 5: Solve for x
    x = 41,460,288.56/8,093.84
  6. Step 6: Final answer
    x = 5,122.45

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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.