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Finding the Fourth Proportional to 11,817, 16,297.52 and 7,100.37

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Solution

The fourth proportional to 11,817, 16,297.52 and 7,100.37 is: 9,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817 : 16,297.52 = 7,100.37 : x
  2. Step 2: Convert to fraction form
    11,817/16,297.52 = 7,100.37/x
  3. Step 3: Cross multiply
    11,817x = 16,297.52 × 7,100.37
  4. Step 4: Simplify right side
    11,817x = 115,718,422.08
  5. Step 5: Solve for x
    x = 115,718,422.08/11,817
  6. Step 6: Final answer
    x = 9,792.54

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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.