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Finding the Fourth Proportional to 7,776.60, 11,651.94 and 5,463.96

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Solution

The fourth proportional to 7,776.60, 11,651.94 and 5,463.96 is: 8,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.60 : 11,651.94 = 5,463.96 : x
  2. Step 2: Convert to fraction form
    7,776.60/11,651.94 = 5,463.96/x
  3. Step 3: Cross multiply
    7,776.60x = 11,651.94 × 5,463.96
  4. Step 4: Simplify right side
    7,776.60x = 63,665,734.08
  5. Step 5: Solve for x
    x = 63,665,734.08/7,776.60
  6. Step 6: Final answer
    x = 8,186.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.