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Finding the Fourth Proportional to 11,097.08, 16,682.86 and 7,833.56

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Solution

The fourth proportional to 11,097.08, 16,682.86 and 7,833.56 is: 11,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.08 : 16,682.86 = 7,833.56 : x
  2. Step 2: Convert to fraction form
    11,097.08/16,682.86 = 7,833.56/x
  3. Step 3: Cross multiply
    11,097.08x = 16,682.86 × 7,833.56
  4. Step 4: Simplify right side
    11,097.08x = 130,686,184.78
  5. Step 5: Solve for x
    x = 130,686,184.78/11,097.08
  6. Step 6: Final answer
    x = 11,776.63

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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.