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Finding the Fourth Proportional to 10,866.75, 16,284.39 and 5,313.82

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Solution

The fourth proportional to 10,866.75, 16,284.39 and 5,313.82 is: 7,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.75 : 16,284.39 = 5,313.82 : x
  2. Step 2: Convert to fraction form
    10,866.75/16,284.39 = 5,313.82/x
  3. Step 3: Cross multiply
    10,866.75x = 16,284.39 × 5,313.82
  4. Step 4: Simplify right side
    10,866.75x = 86,532,317.27
  5. Step 5: Solve for x
    x = 86,532,317.27/10,866.75
  6. Step 6: Final answer
    x = 7,963.04

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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.