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Finding the Fourth Proportional to 11,834.89, 17,754.06 and 3,513.89

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Solution

The fourth proportional to 11,834.89, 17,754.06 and 3,513.89 is: 5,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.89 : 17,754.06 = 3,513.89 : x
  2. Step 2: Convert to fraction form
    11,834.89/17,754.06 = 3,513.89/x
  3. Step 3: Cross multiply
    11,834.89x = 17,754.06 × 3,513.89
  4. Step 4: Simplify right side
    11,834.89x = 62,385,813.89
  5. Step 5: Solve for x
    x = 62,385,813.89/11,834.89
  6. Step 6: Final answer
    x = 5,271.35

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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.