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Finding the Fourth Proportional to 7,579.50, 10,459.56 and 5,189.41

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Solution

The fourth proportional to 7,579.50, 10,459.56 and 5,189.41 is: 7,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579.50 : 10,459.56 = 5,189.41 : x
  2. Step 2: Convert to fraction form
    7,579.50/10,459.56 = 5,189.41/x
  3. Step 3: Cross multiply
    7,579.50x = 10,459.56 × 5,189.41
  4. Step 4: Simplify right side
    7,579.50x = 54,278,945.26
  5. Step 5: Solve for x
    x = 54,278,945.26/7,579.50
  6. Step 6: Final answer
    x = 7,161.28

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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.