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Finding the Fourth Proportional to 7,342.86, 11,014.23 and 2,661.77

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Solution

The fourth proportional to 7,342.86, 11,014.23 and 2,661.77 is: 3,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.86 : 11,014.23 = 2,661.77 : x
  2. Step 2: Convert to fraction form
    7,342.86/11,014.23 = 2,661.77/x
  3. Step 3: Cross multiply
    7,342.86x = 11,014.23 × 2,661.77
  4. Step 4: Simplify right side
    7,342.86x = 29,317,291.92
  5. Step 5: Solve for x
    x = 29,317,291.92/7,342.86
  6. Step 6: Final answer
    x = 3,992.63

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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.