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Finding the Fourth Proportional to 11,625.66, 17,447.00 and 4,230.77

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Solution

The fourth proportional to 11,625.66, 17,447.00 and 4,230.77 is: 6,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.66 : 17,447.00 = 4,230.77 : x
  2. Step 2: Convert to fraction form
    11,625.66/17,447.00 = 4,230.77/x
  3. Step 3: Cross multiply
    11,625.66x = 17,447.00 × 4,230.77
  4. Step 4: Simplify right side
    11,625.66x = 73,814,135.80
  5. Step 5: Solve for x
    x = 73,814,135.80/11,625.66
  6. Step 6: Final answer
    x = 6,349.24

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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.