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Finding the Fourth Proportional to 10,725.92, 16,091.04 and 6,346.52

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Solution

The fourth proportional to 10,725.92, 16,091.04 and 6,346.52 is: 9,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.92 : 16,091.04 = 6,346.52 : x
  2. Step 2: Convert to fraction form
    10,725.92/16,091.04 = 6,346.52/x
  3. Step 3: Cross multiply
    10,725.92x = 16,091.04 × 6,346.52
  4. Step 4: Simplify right side
    10,725.92x = 102,122,107.18
  5. Step 5: Solve for x
    x = 102,122,107.18/10,725.92
  6. Step 6: Final answer
    x = 9,521.06

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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.