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Finding the Fourth Proportional to 7,974.92, 11,005.07 and 4,438.05

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Solution

The fourth proportional to 7,974.92, 11,005.07 and 4,438.05 is: 6,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.92 : 11,005.07 = 4,438.05 : x
  2. Step 2: Convert to fraction form
    7,974.92/11,005.07 = 4,438.05/x
  3. Step 3: Cross multiply
    7,974.92x = 11,005.07 × 4,438.05
  4. Step 4: Simplify right side
    7,974.92x = 48,841,028.72
  5. Step 5: Solve for x
    x = 48,841,028.72/7,974.92
  6. Step 6: Final answer
    x = 6,124.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.