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Finding the Fourth Proportional to 7,806.27, 11,709.35 and 3,186.03

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Solution

The fourth proportional to 7,806.27, 11,709.35 and 3,186.03 is: 4,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.27 : 11,709.35 = 3,186.03 : x
  2. Step 2: Convert to fraction form
    7,806.27/11,709.35 = 3,186.03/x
  3. Step 3: Cross multiply
    7,806.27x = 11,709.35 × 3,186.03
  4. Step 4: Simplify right side
    7,806.27x = 37,306,324.45
  5. Step 5: Solve for x
    x = 37,306,324.45/7,806.27
  6. Step 6: Final answer
    x = 4,779.02

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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.