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Finding the Fourth Proportional to 8,270.69, 12,409.29 and 3,080.21

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Solution

The fourth proportional to 8,270.69, 12,409.29 and 3,080.21 is: 4,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.69 : 12,409.29 = 3,080.21 : x
  2. Step 2: Convert to fraction form
    8,270.69/12,409.29 = 3,080.21/x
  3. Step 3: Cross multiply
    8,270.69x = 12,409.29 × 3,080.21
  4. Step 4: Simplify right side
    8,270.69x = 38,223,157.10
  5. Step 5: Solve for x
    x = 38,223,157.10/8,270.69
  6. Step 6: Final answer
    x = 4,621.52

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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.