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Finding the Fourth Proportional to 7,266.71, 10,896.83 and 2,071.37

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Solution

The fourth proportional to 7,266.71, 10,896.83 and 2,071.37 is: 3,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.71 : 10,896.83 = 2,071.37 : x
  2. Step 2: Convert to fraction form
    7,266.71/10,896.83 = 2,071.37/x
  3. Step 3: Cross multiply
    7,266.71x = 10,896.83 × 2,071.37
  4. Step 4: Simplify right side
    7,266.71x = 22,571,391.41
  5. Step 5: Solve for x
    x = 22,571,391.41/7,266.71
  6. Step 6: Final answer
    x = 3,106.14

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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.