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Finding the Fourth Proportional to 6,704.28, 10,055.16 and 3,005.82

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Solution

The fourth proportional to 6,704.28, 10,055.16 and 3,005.82 is: 4,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.28 : 10,055.16 = 3,005.82 : x
  2. Step 2: Convert to fraction form
    6,704.28/10,055.16 = 3,005.82/x
  3. Step 3: Cross multiply
    6,704.28x = 10,055.16 × 3,005.82
  4. Step 4: Simplify right side
    6,704.28x = 30,224,001.03
  5. Step 5: Solve for x
    x = 30,224,001.03/6,704.28
  6. Step 6: Final answer
    x = 4,508.17

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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.