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Finding the Fourth Proportional to 10,896.16, 15,037.20 and 8,380.96

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Solution

The fourth proportional to 10,896.16, 15,037.20 and 8,380.96 is: 11,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.16 : 15,037.20 = 8,380.96 : x
  2. Step 2: Convert to fraction form
    10,896.16/15,037.20 = 8,380.96/x
  3. Step 3: Cross multiply
    10,896.16x = 15,037.20 × 8,380.96
  4. Step 4: Simplify right side
    10,896.16x = 126,026,171.71
  5. Step 5: Solve for x
    x = 126,026,171.71/10,896.16
  6. Step 6: Final answer
    x = 11,566.11

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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.