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Finding the Fourth Proportional to 7,838.33, 11,749.93 and 2,641.37

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Solution

The fourth proportional to 7,838.33, 11,749.93 and 2,641.37 is: 3,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.33 : 11,749.93 = 2,641.37 : x
  2. Step 2: Convert to fraction form
    7,838.33/11,749.93 = 2,641.37/x
  3. Step 3: Cross multiply
    7,838.33x = 11,749.93 × 2,641.37
  4. Step 4: Simplify right side
    7,838.33x = 31,035,912.60
  5. Step 5: Solve for x
    x = 31,035,912.60/7,838.33
  6. Step 6: Final answer
    x = 3,959.51

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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.