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Finding the Fourth Proportional to 11,878.74, 16,394.31 and 6,843.78

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Solution

The fourth proportional to 11,878.74, 16,394.31 and 6,843.78 is: 9,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.74 : 16,394.31 = 6,843.78 : x
  2. Step 2: Convert to fraction form
    11,878.74/16,394.31 = 6,843.78/x
  3. Step 3: Cross multiply
    11,878.74x = 16,394.31 × 6,843.78
  4. Step 4: Simplify right side
    11,878.74x = 112,199,050.89
  5. Step 5: Solve for x
    x = 112,199,050.89/11,878.74
  6. Step 6: Final answer
    x = 9,445.37

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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.