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Finding the Fourth Proportional to 11,825.99, 16,319.65 and 6,448.49

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Solution

The fourth proportional to 11,825.99, 16,319.65 and 6,448.49 is: 8,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.99 : 16,319.65 = 6,448.49 : x
  2. Step 2: Convert to fraction form
    11,825.99/16,319.65 = 6,448.49/x
  3. Step 3: Cross multiply
    11,825.99x = 16,319.65 × 6,448.49
  4. Step 4: Simplify right side
    11,825.99x = 105,237,067.59
  5. Step 5: Solve for x
    x = 105,237,067.59/11,825.99
  6. Step 6: Final answer
    x = 8,898.80

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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.