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Finding the Fourth Proportional to 11,771.67, 17,658 and 3,006.84

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Solution

The fourth proportional to 11,771.67, 17,658 and 3,006.84 is: 4,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.67 : 17,658 = 3,006.84 : x
  2. Step 2: Convert to fraction form
    11,771.67/17,658 = 3,006.84/x
  3. Step 3: Cross multiply
    11,771.67x = 17,658 × 3,006.84
  4. Step 4: Simplify right side
    11,771.67x = 53,094,780.72
  5. Step 5: Solve for x
    x = 53,094,780.72/11,771.67
  6. Step 6: Final answer
    x = 4,510.39

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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.