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Finding the Fourth Proportional to 8,093, 12,139.48 and 4,627.82

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Solution

The fourth proportional to 8,093, 12,139.48 and 4,627.82 is: 6,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093 : 12,139.48 = 4,627.82 : x
  2. Step 2: Convert to fraction form
    8,093/12,139.48 = 4,627.82/x
  3. Step 3: Cross multiply
    8,093x = 12,139.48 × 4,627.82
  4. Step 4: Simplify right side
    8,093x = 56,179,328.33
  5. Step 5: Solve for x
    x = 56,179,328.33/8,093
  6. Step 6: Final answer
    x = 6,941.72

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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.