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Finding the Fourth Proportional to 10,091.92, 13,922.36 and 5,898.32

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Solution

The fourth proportional to 10,091.92, 13,922.36 and 5,898.32 is: 8,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.92 : 13,922.36 = 5,898.32 : x
  2. Step 2: Convert to fraction form
    10,091.92/13,922.36 = 5,898.32/x
  3. Step 3: Cross multiply
    10,091.92x = 13,922.36 × 5,898.32
  4. Step 4: Simplify right side
    10,091.92x = 82,118,534.44
  5. Step 5: Solve for x
    x = 82,118,534.44/10,091.92
  6. Step 6: Final answer
    x = 8,137.06

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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.