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Finding the Fourth Proportional to 10,896.12, 15,038.06 and 6,181.92

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Solution

The fourth proportional to 10,896.12, 15,038.06 and 6,181.92 is: 8,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.12 : 15,038.06 = 6,181.92 : x
  2. Step 2: Convert to fraction form
    10,896.12/15,038.06 = 6,181.92/x
  3. Step 3: Cross multiply
    10,896.12x = 15,038.06 × 6,181.92
  4. Step 4: Simplify right side
    10,896.12x = 92,964,052.97
  5. Step 5: Solve for x
    x = 92,964,052.97/10,896.12
  6. Step 6: Final answer
    x = 8,531.85

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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.