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Finding the Fourth Proportional to 6,982.24, 10,467.80 and 4,784.24

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Solution

The fourth proportional to 6,982.24, 10,467.80 and 4,784.24 is: 7,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.24 : 10,467.80 = 4,784.24 : x
  2. Step 2: Convert to fraction form
    6,982.24/10,467.80 = 4,784.24/x
  3. Step 3: Cross multiply
    6,982.24x = 10,467.80 × 4,784.24
  4. Step 4: Simplify right side
    6,982.24x = 50,080,467.47
  5. Step 5: Solve for x
    x = 50,080,467.47/6,982.24
  6. Step 6: Final answer
    x = 7,172.55

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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.