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Finding the Fourth Proportional to 8,185.72, 12,284.76 and 6,561.87

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Solution

The fourth proportional to 8,185.72, 12,284.76 and 6,561.87 is: 9,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.72 : 12,284.76 = 6,561.87 : x
  2. Step 2: Convert to fraction form
    8,185.72/12,284.76 = 6,561.87/x
  3. Step 3: Cross multiply
    8,185.72x = 12,284.76 × 6,561.87
  4. Step 4: Simplify right side
    8,185.72x = 80,610,998.10
  5. Step 5: Solve for x
    x = 80,610,998.10/8,185.72
  6. Step 6: Final answer
    x = 9,847.76

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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.