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Finding the Fourth Proportional to 7,408.50, 11,118.22 and 3,512.92

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Solution

The fourth proportional to 7,408.50, 11,118.22 and 3,512.92 is: 5,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.50 : 11,118.22 = 3,512.92 : x
  2. Step 2: Convert to fraction form
    7,408.50/11,118.22 = 3,512.92/x
  3. Step 3: Cross multiply
    7,408.50x = 11,118.22 × 3,512.92
  4. Step 4: Simplify right side
    7,408.50x = 39,057,417.40
  5. Step 5: Solve for x
    x = 39,057,417.40/7,408.50
  6. Step 6: Final answer
    x = 5,271.97

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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.