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Finding the Fourth Proportional to 10,094.34, 13,930.11 and 5,618.37

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Solution

The fourth proportional to 10,094.34, 13,930.11 and 5,618.37 is: 7,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.34 : 13,930.11 = 5,618.37 : x
  2. Step 2: Convert to fraction form
    10,094.34/13,930.11 = 5,618.37/x
  3. Step 3: Cross multiply
    10,094.34x = 13,930.11 × 5,618.37
  4. Step 4: Simplify right side
    10,094.34x = 78,264,512.12
  5. Step 5: Solve for x
    x = 78,264,512.12/10,094.34
  6. Step 6: Final answer
    x = 7,753.31

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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.