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Finding the Fourth Proportional to 6,956.53, 10,438.22 and 3,258.12

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Solution

The fourth proportional to 6,956.53, 10,438.22 and 3,258.12 is: 4,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.53 : 10,438.22 = 3,258.12 : x
  2. Step 2: Convert to fraction form
    6,956.53/10,438.22 = 3,258.12/x
  3. Step 3: Cross multiply
    6,956.53x = 10,438.22 × 3,258.12
  4. Step 4: Simplify right side
    6,956.53x = 34,008,917.91
  5. Step 5: Solve for x
    x = 34,008,917.91/6,956.53
  6. Step 6: Final answer
    x = 4,888.78

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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.