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Finding the Fourth Proportional to 8,172.62, 11,274.47 and 5,339.24

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Solution

The fourth proportional to 8,172.62, 11,274.47 and 5,339.24 is: 7,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.62 : 11,274.47 = 5,339.24 : x
  2. Step 2: Convert to fraction form
    8,172.62/11,274.47 = 5,339.24/x
  3. Step 3: Cross multiply
    8,172.62x = 11,274.47 × 5,339.24
  4. Step 4: Simplify right side
    8,172.62x = 60,197,080.44
  5. Step 5: Solve for x
    x = 60,197,080.44/8,172.62
  6. Step 6: Final answer
    x = 7,365.70

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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.