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Finding the Fourth Proportional to 11,136.36, 16,712.64 and 8,971.24

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Solution

The fourth proportional to 11,136.36, 16,712.64 and 8,971.24 is: 13,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.36 : 16,712.64 = 8,971.24 : x
  2. Step 2: Convert to fraction form
    11,136.36/16,712.64 = 8,971.24/x
  3. Step 3: Cross multiply
    11,136.36x = 16,712.64 × 8,971.24
  4. Step 4: Simplify right side
    11,136.36x = 149,933,104.47
  5. Step 5: Solve for x
    x = 149,933,104.47/11,136.36
  6. Step 6: Final answer
    x = 13,463.39

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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.