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Finding the Fourth Proportional to 6,704.19, 10,051.29 and 4,072.30

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Solution

The fourth proportional to 6,704.19, 10,051.29 and 4,072.30 is: 6,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.19 : 10,051.29 = 4,072.30 : x
  2. Step 2: Convert to fraction form
    6,704.19/10,051.29 = 4,072.30/x
  3. Step 3: Cross multiply
    6,704.19x = 10,051.29 × 4,072.30
  4. Step 4: Simplify right side
    6,704.19x = 40,931,843.14
  5. Step 5: Solve for x
    x = 40,931,843.14/6,704.19
  6. Step 6: Final answer
    x = 6,105.41

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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.