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Finding the Fourth Proportional to 6,951.38, 10,428.42 and 3,002.64

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Solution

The fourth proportional to 6,951.38, 10,428.42 and 3,002.64 is: 4,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.38 : 10,428.42 = 3,002.64 : x
  2. Step 2: Convert to fraction form
    6,951.38/10,428.42 = 3,002.64/x
  3. Step 3: Cross multiply
    6,951.38x = 10,428.42 × 3,002.64
  4. Step 4: Simplify right side
    6,951.38x = 31,312,791.03
  5. Step 5: Solve for x
    x = 31,312,791.03/6,951.38
  6. Step 6: Final answer
    x = 4,504.54

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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.