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Finding the Fourth Proportional to 10,828.80, 16,224.71 and 5,889.62

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Solution

The fourth proportional to 10,828.80, 16,224.71 and 5,889.62 is: 8,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.80 : 16,224.71 = 5,889.62 : x
  2. Step 2: Convert to fraction form
    10,828.80/16,224.71 = 5,889.62/x
  3. Step 3: Cross multiply
    10,828.80x = 16,224.71 × 5,889.62
  4. Step 4: Simplify right side
    10,828.80x = 95,557,376.51
  5. Step 5: Solve for x
    x = 95,557,376.51/10,828.80
  6. Step 6: Final answer
    x = 8,824.37

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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.