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Finding the Fourth Proportional to 10,743.99, 14,825.71 and 6,268.12

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Solution

The fourth proportional to 10,743.99, 14,825.71 and 6,268.12 is: 8,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.99 : 14,825.71 = 6,268.12 : x
  2. Step 2: Convert to fraction form
    10,743.99/14,825.71 = 6,268.12/x
  3. Step 3: Cross multiply
    10,743.99x = 14,825.71 × 6,268.12
  4. Step 4: Simplify right side
    10,743.99x = 92,929,329.37
  5. Step 5: Solve for x
    x = 92,929,329.37/10,743.99
  6. Step 6: Final answer
    x = 8,649.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.