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Finding the Fourth Proportional to 7,677.14, 11,471.99 and 5,764.99

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Solution

The fourth proportional to 7,677.14, 11,471.99 and 5,764.99 is: 8,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.14 : 11,471.99 = 5,764.99 : x
  2. Step 2: Convert to fraction form
    7,677.14/11,471.99 = 5,764.99/x
  3. Step 3: Cross multiply
    7,677.14x = 11,471.99 × 5,764.99
  4. Step 4: Simplify right side
    7,677.14x = 66,135,907.63
  5. Step 5: Solve for x
    x = 66,135,907.63/7,677.14
  6. Step 6: Final answer
    x = 8,614.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.