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Finding the Fourth Proportional to 6,957.72, 10,429.02 and 3,257.64

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Solution

The fourth proportional to 6,957.72, 10,429.02 and 3,257.64 is: 4,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.72 : 10,429.02 = 3,257.64 : x
  2. Step 2: Convert to fraction form
    6,957.72/10,429.02 = 3,257.64/x
  3. Step 3: Cross multiply
    6,957.72x = 10,429.02 × 3,257.64
  4. Step 4: Simplify right side
    6,957.72x = 33,973,992.71
  5. Step 5: Solve for x
    x = 33,973,992.71/6,957.72
  6. Step 6: Final answer
    x = 4,882.92

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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.