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Finding the Fourth Proportional to 11,749.96, 16,216.26 and 7,504.96

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Solution

The fourth proportional to 11,749.96, 16,216.26 and 7,504.96 is: 10,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.96 : 16,216.26 = 7,504.96 : x
  2. Step 2: Convert to fraction form
    11,749.96/16,216.26 = 7,504.96/x
  3. Step 3: Cross multiply
    11,749.96x = 16,216.26 × 7,504.96
  4. Step 4: Simplify right side
    11,749.96x = 121,702,382.65
  5. Step 5: Solve for x
    x = 121,702,382.65/11,749.96
  6. Step 6: Final answer
    x = 10,357.68

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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.