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Finding the Fourth Proportional to 8,296.35, 11,448.80 and 4,519.47

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Solution

The fourth proportional to 8,296.35, 11,448.80 and 4,519.47 is: 6,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.35 : 11,448.80 = 4,519.47 : x
  2. Step 2: Convert to fraction form
    8,296.35/11,448.80 = 4,519.47/x
  3. Step 3: Cross multiply
    8,296.35x = 11,448.80 × 4,519.47
  4. Step 4: Simplify right side
    8,296.35x = 51,742,508.14
  5. Step 5: Solve for x
    x = 51,742,508.14/8,296.35
  6. Step 6: Final answer
    x = 6,236.78

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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.