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Finding the Fourth Proportional to 7,342.25, 11,015.41 and 2,415.34

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Solution

The fourth proportional to 7,342.25, 11,015.41 and 2,415.34 is: 3,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.25 : 11,015.41 = 2,415.34 : x
  2. Step 2: Convert to fraction form
    7,342.25/11,015.41 = 2,415.34/x
  3. Step 3: Cross multiply
    7,342.25x = 11,015.41 × 2,415.34
  4. Step 4: Simplify right side
    7,342.25x = 26,605,910.69
  5. Step 5: Solve for x
    x = 26,605,910.69/7,342.25
  6. Step 6: Final answer
    x = 3,623.68

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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.