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Finding the Fourth Proportional to 7,838.71, 11,760.26 and 3,338.03

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Solution

The fourth proportional to 7,838.71, 11,760.26 and 3,338.03 is: 5,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.71 : 11,760.26 = 3,338.03 : x
  2. Step 2: Convert to fraction form
    7,838.71/11,760.26 = 3,338.03/x
  3. Step 3: Cross multiply
    7,838.71x = 11,760.26 × 3,338.03
  4. Step 4: Simplify right side
    7,838.71x = 39,256,084.00
  5. Step 5: Solve for x
    x = 39,256,084.00/7,838.71
  6. Step 6: Final answer
    x = 5,007.98

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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.