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Finding the Fourth Proportional to 8,571.84, 11,836.12 and 6,336.24

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Solution

The fourth proportional to 8,571.84, 11,836.12 and 6,336.24 is: 8,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.84 : 11,836.12 = 6,336.24 : x
  2. Step 2: Convert to fraction form
    8,571.84/11,836.12 = 6,336.24/x
  3. Step 3: Cross multiply
    8,571.84x = 11,836.12 × 6,336.24
  4. Step 4: Simplify right side
    8,571.84x = 74,996,496.99
  5. Step 5: Solve for x
    x = 74,996,496.99/8,571.84
  6. Step 6: Final answer
    x = 8,749.17

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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.