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Finding the Fourth Proportional to 7,806.36, 11,709.89 and 2,541.36

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Solution

The fourth proportional to 7,806.36, 11,709.89 and 2,541.36 is: 3,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.36 : 11,709.89 = 2,541.36 : x
  2. Step 2: Convert to fraction form
    7,806.36/11,709.89 = 2,541.36/x
  3. Step 3: Cross multiply
    7,806.36x = 11,709.89 × 2,541.36
  4. Step 4: Simplify right side
    7,806.36x = 29,759,033.34
  5. Step 5: Solve for x
    x = 29,759,033.34/7,806.36
  6. Step 6: Final answer
    x = 3,812.15

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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.