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Finding the Fourth Proportional to 5,668.63, 8,481.56 and 5,093.11

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Solution

The fourth proportional to 5,668.63, 8,481.56 and 5,093.11 is: 7,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.63 : 8,481.56 = 5,093.11 : x
  2. Step 2: Convert to fraction form
    5,668.63/8,481.56 = 5,093.11/x
  3. Step 3: Cross multiply
    5,668.63x = 8,481.56 × 5,093.11
  4. Step 4: Simplify right side
    5,668.63x = 43,197,518.05
  5. Step 5: Solve for x
    x = 43,197,518.05/5,668.63
  6. Step 6: Final answer
    x = 7,620.45

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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.