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Finding the Fourth Proportional to 7,383.68, 10,189.46 and 4,026.50

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Solution

The fourth proportional to 7,383.68, 10,189.46 and 4,026.50 is: 5,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.68 : 10,189.46 = 4,026.50 : x
  2. Step 2: Convert to fraction form
    7,383.68/10,189.46 = 4,026.50/x
  3. Step 3: Cross multiply
    7,383.68x = 10,189.46 × 4,026.50
  4. Step 4: Simplify right side
    7,383.68x = 41,027,860.69
  5. Step 5: Solve for x
    x = 41,027,860.69/7,383.68
  6. Step 6: Final answer
    x = 5,556.56

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