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Finding the Fourth Proportional to 8,045.58, 12,072.69 and 3,427.50

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Solution

The fourth proportional to 8,045.58, 12,072.69 and 3,427.50 is: 5,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.58 : 12,072.69 = 3,427.50 : x
  2. Step 2: Convert to fraction form
    8,045.58/12,072.69 = 3,427.50/x
  3. Step 3: Cross multiply
    8,045.58x = 12,072.69 × 3,427.50
  4. Step 4: Simplify right side
    8,045.58x = 41,379,144.98
  5. Step 5: Solve for x
    x = 41,379,144.98/8,045.58
  6. Step 6: Final answer
    x = 5,143.09

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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.