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Finding the Fourth Proportional to 8,238.62, 11,368.74 and 5,094.20

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Solution

The fourth proportional to 8,238.62, 11,368.74 and 5,094.20 is: 7,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.62 : 11,368.74 = 5,094.20 : x
  2. Step 2: Convert to fraction form
    8,238.62/11,368.74 = 5,094.20/x
  3. Step 3: Cross multiply
    8,238.62x = 11,368.74 × 5,094.20
  4. Step 4: Simplify right side
    8,238.62x = 57,914,578.46
  5. Step 5: Solve for x
    x = 57,914,578.46/8,238.62
  6. Step 6: Final answer
    x = 7,029.65

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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.