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Finding the Fourth Proportional to 7,857.05, 11,777.06 and 5,516.96

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Solution

The fourth proportional to 7,857.05, 11,777.06 and 5,516.96 is: 8,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.05 : 11,777.06 = 5,516.96 : x
  2. Step 2: Convert to fraction form
    7,857.05/11,777.06 = 5,516.96/x
  3. Step 3: Cross multiply
    7,857.05x = 11,777.06 × 5,516.96
  4. Step 4: Simplify right side
    7,857.05x = 64,973,523.84
  5. Step 5: Solve for x
    x = 64,973,523.84/7,857.05
  6. Step 6: Final answer
    x = 8,269.46

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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.