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Finding the Fourth Proportional to 6,806.09, 10,204.63 and 3,289.13

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Solution

The fourth proportional to 6,806.09, 10,204.63 and 3,289.13 is: 4,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.09 : 10,204.63 = 3,289.13 : x
  2. Step 2: Convert to fraction form
    6,806.09/10,204.63 = 3,289.13/x
  3. Step 3: Cross multiply
    6,806.09x = 10,204.63 × 3,289.13
  4. Step 4: Simplify right side
    6,806.09x = 33,564,354.67
  5. Step 5: Solve for x
    x = 33,564,354.67/6,806.09
  6. Step 6: Final answer
    x = 4,931.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.