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Finding the Fourth Proportional to 7,022.86, 10,539.73 and 2,644.30

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Solution

The fourth proportional to 7,022.86, 10,539.73 and 2,644.30 is: 3,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.86 : 10,539.73 = 2,644.30 : x
  2. Step 2: Convert to fraction form
    7,022.86/10,539.73 = 2,644.30/x
  3. Step 3: Cross multiply
    7,022.86x = 10,539.73 × 2,644.30
  4. Step 4: Simplify right side
    7,022.86x = 27,870,208.04
  5. Step 5: Solve for x
    x = 27,870,208.04/7,022.86
  6. Step 6: Final answer
    x = 3,968.50

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Why These Related Problems?

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