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Finding the Fourth Proportional to 7,806.89, 11,701.08 and 3,638.27

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Solution

The fourth proportional to 7,806.89, 11,701.08 and 3,638.27 is: 5,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.89 : 11,701.08 = 3,638.27 : x
  2. Step 2: Convert to fraction form
    7,806.89/11,701.08 = 3,638.27/x
  3. Step 3: Cross multiply
    7,806.89x = 11,701.08 × 3,638.27
  4. Step 4: Simplify right side
    7,806.89x = 42,571,688.33
  5. Step 5: Solve for x
    x = 42,571,688.33/7,806.89
  6. Step 6: Final answer
    x = 5,453.09

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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.