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Finding the Fourth Proportional to 11,878.44, 16,393.99 and 6,841.69

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Solution

The fourth proportional to 11,878.44, 16,393.99 and 6,841.69 is: 9,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.44 : 16,393.99 = 6,841.69 : x
  2. Step 2: Convert to fraction form
    11,878.44/16,393.99 = 6,841.69/x
  3. Step 3: Cross multiply
    11,878.44x = 16,393.99 × 6,841.69
  4. Step 4: Simplify right side
    11,878.44x = 112,162,539.35
  5. Step 5: Solve for x
    x = 112,162,539.35/11,878.44
  6. Step 6: Final answer
    x = 9,442.53

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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.