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Finding the Fourth Proportional to 10,093, 13,930.28 and 5,677

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Solution

The fourth proportional to 10,093, 13,930.28 and 5,677 is: 7,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093 : 13,930.28 = 5,677 : x
  2. Step 2: Convert to fraction form
    10,093/13,930.28 = 5,677/x
  3. Step 3: Cross multiply
    10,093x = 13,930.28 × 5,677
  4. Step 4: Simplify right side
    10,093x = 79,082,199.56
  5. Step 5: Solve for x
    x = 79,082,199.56/10,093
  6. Step 6: Final answer
    x = 7,835.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.