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Finding the Fourth Proportional to 11,752.86, 16,219.97 and 6,448.71

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Solution

The fourth proportional to 11,752.86, 16,219.97 and 6,448.71 is: 8,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.86 : 16,219.97 = 6,448.71 : x
  2. Step 2: Convert to fraction form
    11,752.86/16,219.97 = 6,448.71/x
  3. Step 3: Cross multiply
    11,752.86x = 16,219.97 × 6,448.71
  4. Step 4: Simplify right side
    11,752.86x = 104,597,882.74
  5. Step 5: Solve for x
    x = 104,597,882.74/11,752.86
  6. Step 6: Final answer
    x = 8,899.78

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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.