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Finding the Fourth Proportional to 8,982.26, 13,473.10 and 2,408.10

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Solution

The fourth proportional to 8,982.26, 13,473.10 and 2,408.10 is: 3,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.26 : 13,473.10 = 2,408.10 : x
  2. Step 2: Convert to fraction form
    8,982.26/13,473.10 = 2,408.10/x
  3. Step 3: Cross multiply
    8,982.26x = 13,473.10 × 2,408.10
  4. Step 4: Simplify right side
    8,982.26x = 32,444,572.11
  5. Step 5: Solve for x
    x = 32,444,572.11/8,982.26
  6. Step 6: Final answer
    x = 3,612.07

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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.