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Finding the Fourth Proportional to 11,222.60, 16,842.41 and 6,296.39

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Solution

The fourth proportional to 11,222.60, 16,842.41 and 6,296.39 is: 9,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.60 : 16,842.41 = 6,296.39 : x
  2. Step 2: Convert to fraction form
    11,222.60/16,842.41 = 6,296.39/x
  3. Step 3: Cross multiply
    11,222.60x = 16,842.41 × 6,296.39
  4. Step 4: Simplify right side
    11,222.60x = 106,046,266.21
  5. Step 5: Solve for x
    x = 106,046,266.21/11,222.60
  6. Step 6: Final answer
    x = 9,449.35

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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.