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Finding the Fourth Proportional to 10,843.58, 14,965.47 and 6,367.75

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Solution

The fourth proportional to 10,843.58, 14,965.47 and 6,367.75 is: 8,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.58 : 14,965.47 = 6,367.75 : x
  2. Step 2: Convert to fraction form
    10,843.58/14,965.47 = 6,367.75/x
  3. Step 3: Cross multiply
    10,843.58x = 14,965.47 × 6,367.75
  4. Step 4: Simplify right side
    10,843.58x = 95,296,371.59
  5. Step 5: Solve for x
    x = 95,296,371.59/10,843.58
  6. Step 6: Final answer
    x = 8,788.28

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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.