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Finding the Fourth Proportional to 7,814.86, 11,723.32 and 2,548.02

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Solution

The fourth proportional to 7,814.86, 11,723.32 and 2,548.02 is: 3,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.86 : 11,723.32 = 2,548.02 : x
  2. Step 2: Convert to fraction form
    7,814.86/11,723.32 = 2,548.02/x
  3. Step 3: Cross multiply
    7,814.86x = 11,723.32 × 2,548.02
  4. Step 4: Simplify right side
    7,814.86x = 29,871,229.62
  5. Step 5: Solve for x
    x = 29,871,229.62/7,814.86
  6. Step 6: Final answer
    x = 3,822.36

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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.