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Finding the Fourth Proportional to 10,175.78, 14,043.22 and 5,699.80

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Solution

The fourth proportional to 10,175.78, 14,043.22 and 5,699.80 is: 7,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.78 : 14,043.22 = 5,699.80 : x
  2. Step 2: Convert to fraction form
    10,175.78/14,043.22 = 5,699.80/x
  3. Step 3: Cross multiply
    10,175.78x = 14,043.22 × 5,699.80
  4. Step 4: Simplify right side
    10,175.78x = 80,043,616.21
  5. Step 5: Solve for x
    x = 80,043,616.21/10,175.78
  6. Step 6: Final answer
    x = 7,866.09

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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.