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Finding the Fourth Proportional to 7,086.33, 10,629.54 and 3,189.78

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Solution

The fourth proportional to 7,086.33, 10,629.54 and 3,189.78 is: 4,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.33 : 10,629.54 = 3,189.78 : x
  2. Step 2: Convert to fraction form
    7,086.33/10,629.54 = 3,189.78/x
  3. Step 3: Cross multiply
    7,086.33x = 10,629.54 × 3,189.78
  4. Step 4: Simplify right side
    7,086.33x = 33,905,894.10
  5. Step 5: Solve for x
    x = 33,905,894.10/7,086.33
  6. Step 6: Final answer
    x = 4,784.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.