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Finding the Fourth Proportional to 7,666.66, 11,491.73 and 3,709.56

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Solution

The fourth proportional to 7,666.66, 11,491.73 and 3,709.56 is: 5,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.66 : 11,491.73 = 3,709.56 : x
  2. Step 2: Convert to fraction form
    7,666.66/11,491.73 = 3,709.56/x
  3. Step 3: Cross multiply
    7,666.66x = 11,491.73 × 3,709.56
  4. Step 4: Simplify right side
    7,666.66x = 42,629,243.39
  5. Step 5: Solve for x
    x = 42,629,243.39/7,666.66
  6. Step 6: Final answer
    x = 5,560.34

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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.