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Finding the Fourth Proportional to 8,101.01, 11,173.95 and 5,114.34

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Solution

The fourth proportional to 8,101.01, 11,173.95 and 5,114.34 is: 7,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.01 : 11,173.95 = 5,114.34 : x
  2. Step 2: Convert to fraction form
    8,101.01/11,173.95 = 5,114.34/x
  3. Step 3: Cross multiply
    8,101.01x = 11,173.95 × 5,114.34
  4. Step 4: Simplify right side
    8,101.01x = 57,147,379.44
  5. Step 5: Solve for x
    x = 57,147,379.44/8,101.01
  6. Step 6: Final answer
    x = 7,054.35

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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.