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Finding the Fourth Proportional to 10,967.88, 16,453.98 and 4,042.44

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Solution

The fourth proportional to 10,967.88, 16,453.98 and 4,042.44 is: 6,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.88 : 16,453.98 = 4,042.44 : x
  2. Step 2: Convert to fraction form
    10,967.88/16,453.98 = 4,042.44/x
  3. Step 3: Cross multiply
    10,967.88x = 16,453.98 × 4,042.44
  4. Step 4: Simplify right side
    10,967.88x = 66,514,226.91
  5. Step 5: Solve for x
    x = 66,514,226.91/10,967.88
  6. Step 6: Final answer
    x = 6,064.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.