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Finding the Fourth Proportional to 10,580.82, 15,879.20 and 7,241.07

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Solution

The fourth proportional to 10,580.82, 15,879.20 and 7,241.07 is: 10,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.82 : 15,879.20 = 7,241.07 : x
  2. Step 2: Convert to fraction form
    10,580.82/15,879.20 = 7,241.07/x
  3. Step 3: Cross multiply
    10,580.82x = 15,879.20 × 7,241.07
  4. Step 4: Simplify right side
    10,580.82x = 114,982,362.54
  5. Step 5: Solve for x
    x = 114,982,362.54/10,580.82
  6. Step 6: Final answer
    x = 10,867.06

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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.