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Finding the Fourth Proportional to 10,681.81, 16,021.44 and 2,891.23

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Solution

The fourth proportional to 10,681.81, 16,021.44 and 2,891.23 is: 4,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.81 : 16,021.44 = 2,891.23 : x
  2. Step 2: Convert to fraction form
    10,681.81/16,021.44 = 2,891.23/x
  3. Step 3: Cross multiply
    10,681.81x = 16,021.44 × 2,891.23
  4. Step 4: Simplify right side
    10,681.81x = 46,321,667.97
  5. Step 5: Solve for x
    x = 46,321,667.97/10,681.81
  6. Step 6: Final answer
    x = 4,336.50

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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.