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Finding the Fourth Proportional to 8,628.37, 11,892.81 and 6,107.24

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Solution

The fourth proportional to 8,628.37, 11,892.81 and 6,107.24 is: 8,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.37 : 11,892.81 = 6,107.24 : x
  2. Step 2: Convert to fraction form
    8,628.37/11,892.81 = 6,107.24/x
  3. Step 3: Cross multiply
    8,628.37x = 11,892.81 × 6,107.24
  4. Step 4: Simplify right side
    8,628.37x = 72,632,214.41
  5. Step 5: Solve for x
    x = 72,632,214.41/8,628.37
  6. Step 6: Final answer
    x = 8,417.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.