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Finding the Fourth Proportional to 6,704.26, 10,056.28 and 2,024.08

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Solution

The fourth proportional to 6,704.26, 10,056.28 and 2,024.08 is: 3,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.26 : 10,056.28 = 2,024.08 : x
  2. Step 2: Convert to fraction form
    6,704.26/10,056.28 = 2,024.08/x
  3. Step 3: Cross multiply
    6,704.26x = 10,056.28 × 2,024.08
  4. Step 4: Simplify right side
    6,704.26x = 20,354,715.22
  5. Step 5: Solve for x
    x = 20,354,715.22/6,704.26
  6. Step 6: Final answer
    x = 3,036.09

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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.