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Finding the Fourth Proportional to 11,706.99, 17,560.31 and 2,941.91

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Solution

The fourth proportional to 11,706.99, 17,560.31 and 2,941.91 is: 4,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.99 : 17,560.31 = 2,941.91 : x
  2. Step 2: Convert to fraction form
    11,706.99/17,560.31 = 2,941.91/x
  3. Step 3: Cross multiply
    11,706.99x = 17,560.31 × 2,941.91
  4. Step 4: Simplify right side
    11,706.99x = 51,660,749.08
  5. Step 5: Solve for x
    x = 51,660,749.08/11,706.99
  6. Step 6: Final answer
    x = 4,412.81

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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.