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Finding the Fourth Proportional to 6,952.38, 10,429.92 and 3,003.64

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Solution

The fourth proportional to 6,952.38, 10,429.92 and 3,003.64 is: 4,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.38 : 10,429.92 = 3,003.64 : x
  2. Step 2: Convert to fraction form
    6,952.38/10,429.92 = 3,003.64/x
  3. Step 3: Cross multiply
    6,952.38x = 10,429.92 × 3,003.64
  4. Step 4: Simplify right side
    6,952.38x = 31,327,724.91
  5. Step 5: Solve for x
    x = 31,327,724.91/6,952.38
  6. Step 6: Final answer
    x = 4,506.04

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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.