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Finding the Fourth Proportional to 11,656.26, 16,079.64 and 7,625.46

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Solution

The fourth proportional to 11,656.26, 16,079.64 and 7,625.46 is: 10,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.26 : 16,079.64 = 7,625.46 : x
  2. Step 2: Convert to fraction form
    11,656.26/16,079.64 = 7,625.46/x
  3. Step 3: Cross multiply
    11,656.26x = 16,079.64 × 7,625.46
  4. Step 4: Simplify right side
    11,656.26x = 122,614,651.63
  5. Step 5: Solve for x
    x = 122,614,651.63/11,656.26
  6. Step 6: Final answer
    x = 10,519.21

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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.