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Finding the Fourth Proportional to 11,704.98, 17,555.52 and 3,913.78

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Solution

The fourth proportional to 11,704.98, 17,555.52 and 3,913.78 is: 5,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.98 : 17,555.52 = 3,913.78 : x
  2. Step 2: Convert to fraction form
    11,704.98/17,555.52 = 3,913.78/x
  3. Step 3: Cross multiply
    11,704.98x = 17,555.52 × 3,913.78
  4. Step 4: Simplify right side
    11,704.98x = 68,708,443.07
  5. Step 5: Solve for x
    x = 68,708,443.07/11,704.98
  6. Step 6: Final answer
    x = 5,870.02

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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.