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Finding the Fourth Proportional to 11,810.21, 17,713.13 and 3,912.81

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Solution

The fourth proportional to 11,810.21, 17,713.13 and 3,912.81 is: 5,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.21 : 17,713.13 = 3,912.81 : x
  2. Step 2: Convert to fraction form
    11,810.21/17,713.13 = 3,912.81/x
  3. Step 3: Cross multiply
    11,810.21x = 17,713.13 × 3,912.81
  4. Step 4: Simplify right side
    11,810.21x = 69,308,048.22
  5. Step 5: Solve for x
    x = 69,308,048.22/11,810.21
  6. Step 6: Final answer
    x = 5,868.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.