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Finding the Fourth Proportional to 11,010.96, 15,192.63 and 6,295.14

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Solution

The fourth proportional to 11,010.96, 15,192.63 and 6,295.14 is: 8,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,010.96 : 15,192.63 = 6,295.14 : x
  2. Step 2: Convert to fraction form
    11,010.96/15,192.63 = 6,295.14/x
  3. Step 3: Cross multiply
    11,010.96x = 15,192.63 × 6,295.14
  4. Step 4: Simplify right side
    11,010.96x = 95,639,732.82
  5. Step 5: Solve for x
    x = 95,639,732.82/11,010.96
  6. Step 6: Final answer
    x = 8,685.87

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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.