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Finding the Fourth Proportional to 7,816.69, 10,786.84 and 4,280.05

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Solution

The fourth proportional to 7,816.69, 10,786.84 and 4,280.05 is: 5,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.69 : 10,786.84 = 4,280.05 : x
  2. Step 2: Convert to fraction form
    7,816.69/10,786.84 = 4,280.05/x
  3. Step 3: Cross multiply
    7,816.69x = 10,786.84 × 4,280.05
  4. Step 4: Simplify right side
    7,816.69x = 46,168,214.54
  5. Step 5: Solve for x
    x = 46,168,214.54/7,816.69
  6. Step 6: Final answer
    x = 5,906.36

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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.