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Finding the Fourth Proportional to 8,004.87, 11,997.58 and 5,665.56

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Solution

The fourth proportional to 8,004.87, 11,997.58 and 5,665.56 is: 8,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.87 : 11,997.58 = 5,665.56 : x
  2. Step 2: Convert to fraction form
    8,004.87/11,997.58 = 5,665.56/x
  3. Step 3: Cross multiply
    8,004.87x = 11,997.58 × 5,665.56
  4. Step 4: Simplify right side
    8,004.87x = 67,973,009.34
  5. Step 5: Solve for x
    x = 67,973,009.34/8,004.87
  6. Step 6: Final answer
    x = 8,491.46

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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.