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Finding the Fourth Proportional to 11,846.94, 17,769.69 and 3,526.98

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Solution

The fourth proportional to 11,846.94, 17,769.69 and 3,526.98 is: 5,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.94 : 17,769.69 = 3,526.98 : x
  2. Step 2: Convert to fraction form
    11,846.94/17,769.69 = 3,526.98/x
  3. Step 3: Cross multiply
    11,846.94x = 17,769.69 × 3,526.98
  4. Step 4: Simplify right side
    11,846.94x = 62,673,341.24
  5. Step 5: Solve for x
    x = 62,673,341.24/11,846.94
  6. Step 6: Final answer
    x = 5,290.26

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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.