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Finding the Fourth Proportional to 6,975.60, 10,467.04 and 2,816.64

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Solution

The fourth proportional to 6,975.60, 10,467.04 and 2,816.64 is: 4,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.60 : 10,467.04 = 2,816.64 : x
  2. Step 2: Convert to fraction form
    6,975.60/10,467.04 = 2,816.64/x
  3. Step 3: Cross multiply
    6,975.60x = 10,467.04 × 2,816.64
  4. Step 4: Simplify right side
    6,975.60x = 29,481,883.55
  5. Step 5: Solve for x
    x = 29,481,883.55/6,975.60
  6. Step 6: Final answer
    x = 4,226.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.