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Finding the Fourth Proportional to 6,704.18, 10,047.76 and 3,006.26

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Solution

The fourth proportional to 6,704.18, 10,047.76 and 3,006.26 is: 4,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.18 : 10,047.76 = 3,006.26 : x
  2. Step 2: Convert to fraction form
    6,704.18/10,047.76 = 3,006.26/x
  3. Step 3: Cross multiply
    6,704.18x = 10,047.76 × 3,006.26
  4. Step 4: Simplify right side
    6,704.18x = 30,206,121.22
  5. Step 5: Solve for x
    x = 30,206,121.22/6,704.18
  6. Step 6: Final answer
    x = 4,505.57

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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.