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Finding the Fourth Proportional to 11,800.74, 16,284.89 and 6,495.44

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Solution

The fourth proportional to 11,800.74, 16,284.89 and 6,495.44 is: 8,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.74 : 16,284.89 = 6,495.44 : x
  2. Step 2: Convert to fraction form
    11,800.74/16,284.89 = 6,495.44/x
  3. Step 3: Cross multiply
    11,800.74x = 16,284.89 × 6,495.44
  4. Step 4: Simplify right side
    11,800.74x = 105,777,525.90
  5. Step 5: Solve for x
    x = 105,777,525.90/11,800.74
  6. Step 6: Final answer
    x = 8,963.63

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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.