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Finding the Fourth Proportional to 10,782.36, 14,878.80 and 6,067.44

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Solution

The fourth proportional to 10,782.36, 14,878.80 and 6,067.44 is: 8,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.36 : 14,878.80 = 6,067.44 : x
  2. Step 2: Convert to fraction form
    10,782.36/14,878.80 = 6,067.44/x
  3. Step 3: Cross multiply
    10,782.36x = 14,878.80 × 6,067.44
  4. Step 4: Simplify right side
    10,782.36x = 90,276,226.27
  5. Step 5: Solve for x
    x = 90,276,226.27/10,782.36
  6. Step 6: Final answer
    x = 8,372.59

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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.