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Finding the Fourth Proportional to 7,842.99, 10,822.65 and 4,485.26

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Solution

The fourth proportional to 7,842.99, 10,822.65 and 4,485.26 is: 6,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.99 : 10,822.65 = 4,485.26 : x
  2. Step 2: Convert to fraction form
    7,842.99/10,822.65 = 4,485.26/x
  3. Step 3: Cross multiply
    7,842.99x = 10,822.65 × 4,485.26
  4. Step 4: Simplify right side
    7,842.99x = 48,542,399.14
  5. Step 5: Solve for x
    x = 48,542,399.14/7,842.99
  6. Step 6: Final answer
    x = 6,189.27

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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.