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Finding the Fourth Proportional to 8,806.89, 13,207.50 and 8,224.50

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Solution

The fourth proportional to 8,806.89, 13,207.50 and 8,224.50 is: 12,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806.89 : 13,207.50 = 8,224.50 : x
  2. Step 2: Convert to fraction form
    8,806.89/13,207.50 = 8,224.50/x
  3. Step 3: Cross multiply
    8,806.89x = 13,207.50 × 8,224.50
  4. Step 4: Simplify right side
    8,806.89x = 108,625,083.75
  5. Step 5: Solve for x
    x = 108,625,083.75/8,806.89
  6. Step 6: Final answer
    x = 12,334.10

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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.