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Finding the Fourth Proportional to 8,056, 12,087.20 and 3,675.52

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Solution

The fourth proportional to 8,056, 12,087.20 and 3,675.52 is: 5,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056 : 12,087.20 = 3,675.52 : x
  2. Step 2: Convert to fraction form
    8,056/12,087.20 = 3,675.52/x
  3. Step 3: Cross multiply
    8,056x = 12,087.20 × 3,675.52
  4. Step 4: Simplify right side
    8,056x = 44,426,745.34
  5. Step 5: Solve for x
    x = 44,426,745.34/8,056
  6. Step 6: Final answer
    x = 5,514.74

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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.