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Finding the Fourth Proportional to 8,331.63, 12,499.19 and 2,408.50

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Solution

The fourth proportional to 8,331.63, 12,499.19 and 2,408.50 is: 3,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.63 : 12,499.19 = 2,408.50 : x
  2. Step 2: Convert to fraction form
    8,331.63/12,499.19 = 2,408.50/x
  3. Step 3: Cross multiply
    8,331.63x = 12,499.19 × 2,408.50
  4. Step 4: Simplify right side
    8,331.63x = 30,104,299.12
  5. Step 5: Solve for x
    x = 30,104,299.12/8,331.63
  6. Step 6: Final answer
    x = 3,613.25

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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.