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Finding the Fourth Proportional to 8,145.77, 12,222.50 and 3,764.07

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Solution

The fourth proportional to 8,145.77, 12,222.50 and 3,764.07 is: 5,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.77 : 12,222.50 = 3,764.07 : x
  2. Step 2: Convert to fraction form
    8,145.77/12,222.50 = 3,764.07/x
  3. Step 3: Cross multiply
    8,145.77x = 12,222.50 × 3,764.07
  4. Step 4: Simplify right side
    8,145.77x = 46,006,326.75
  5. Step 5: Solve for x
    x = 46,006,326.75/8,145.77
  6. Step 6: Final answer
    x = 5,647.88

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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.