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Finding the Fourth Proportional to 6,806.56, 10,207.24 and 4,034.00

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Solution

The fourth proportional to 6,806.56, 10,207.24 and 4,034.00 is: 6,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.56 : 10,207.24 = 4,034.00 : x
  2. Step 2: Convert to fraction form
    6,806.56/10,207.24 = 4,034.00/x
  3. Step 3: Cross multiply
    6,806.56x = 10,207.24 × 4,034.00
  4. Step 4: Simplify right side
    6,806.56x = 41,176,032.94
  5. Step 5: Solve for x
    x = 41,176,032.94/6,806.56
  6. Step 6: Final answer
    x = 6,049.47

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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.