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Finding the Fourth Proportional to 8,214.56, 11,336.24 and 4,488.48

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Solution

The fourth proportional to 8,214.56, 11,336.24 and 4,488.48 is: 6,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.56 : 11,336.24 = 4,488.48 : x
  2. Step 2: Convert to fraction form
    8,214.56/11,336.24 = 4,488.48/x
  3. Step 3: Cross multiply
    8,214.56x = 11,336.24 × 4,488.48
  4. Step 4: Simplify right side
    8,214.56x = 50,882,486.52
  5. Step 5: Solve for x
    x = 50,882,486.52/8,214.56
  6. Step 6: Final answer
    x = 6,194.18

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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.