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Finding the Fourth Proportional to 8,391.86, 12,577.02 and 3,464.96

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Solution

The fourth proportional to 8,391.86, 12,577.02 and 3,464.96 is: 5,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.86 : 12,577.02 = 3,464.96 : x
  2. Step 2: Convert to fraction form
    8,391.86/12,577.02 = 3,464.96/x
  3. Step 3: Cross multiply
    8,391.86x = 12,577.02 × 3,464.96
  4. Step 4: Simplify right side
    8,391.86x = 43,578,808.33
  5. Step 5: Solve for x
    x = 43,578,808.33/8,391.86
  6. Step 6: Final answer
    x = 5,192.99

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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.