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Finding the Fourth Proportional to 10,727.56, 16,097.82 and 6,833.32

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Solution

The fourth proportional to 10,727.56, 16,097.82 and 6,833.32 is: 10,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.56 : 16,097.82 = 6,833.32 : x
  2. Step 2: Convert to fraction form
    10,727.56/16,097.82 = 6,833.32/x
  3. Step 3: Cross multiply
    10,727.56x = 16,097.82 × 6,833.32
  4. Step 4: Simplify right side
    10,727.56x = 110,001,555.36
  5. Step 5: Solve for x
    x = 110,001,555.36/10,727.56
  6. Step 6: Final answer
    x = 10,254.11

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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.