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Finding the Fourth Proportional to 11,828.46, 17,736.81 and 6,899.34

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Solution

The fourth proportional to 11,828.46, 17,736.81 and 6,899.34 is: 10,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.46 : 17,736.81 = 6,899.34 : x
  2. Step 2: Convert to fraction form
    11,828.46/17,736.81 = 6,899.34/x
  3. Step 3: Cross multiply
    11,828.46x = 17,736.81 × 6,899.34
  4. Step 4: Simplify right side
    11,828.46x = 122,372,282.71
  5. Step 5: Solve for x
    x = 122,372,282.71/11,828.46
  6. Step 6: Final answer
    x = 10,345.58

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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.