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Finding the Fourth Proportional to 12,296.56, 18,448.44 and 5,272.88

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Solution

The fourth proportional to 12,296.56, 18,448.44 and 5,272.88 is: 7,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.56 : 18,448.44 = 5,272.88 : x
  2. Step 2: Convert to fraction form
    12,296.56/18,448.44 = 5,272.88/x
  3. Step 3: Cross multiply
    12,296.56x = 18,448.44 × 5,272.88
  4. Step 4: Simplify right side
    12,296.56x = 97,276,410.31
  5. Step 5: Solve for x
    x = 97,276,410.31/12,296.56
  6. Step 6: Final answer
    x = 7,910.86

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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.