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Finding the Fourth Proportional to 8,334.14, 11,491.94 and 5,348.84

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Solution

The fourth proportional to 8,334.14, 11,491.94 and 5,348.84 is: 7,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.14 : 11,491.94 = 5,348.84 : x
  2. Step 2: Convert to fraction form
    8,334.14/11,491.94 = 5,348.84/x
  3. Step 3: Cross multiply
    8,334.14x = 11,491.94 × 5,348.84
  4. Step 4: Simplify right side
    8,334.14x = 61,468,504.26
  5. Step 5: Solve for x
    x = 61,468,504.26/8,334.14
  6. Step 6: Final answer
    x = 7,375.51

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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.