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Finding the Fourth Proportional to 8,218.37, 11,342.77 and 7,945.00

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Solution

The fourth proportional to 8,218.37, 11,342.77 and 7,945.00 is: 10,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.37 : 11,342.77 = 7,945.00 : x
  2. Step 2: Convert to fraction form
    8,218.37/11,342.77 = 7,945.00/x
  3. Step 3: Cross multiply
    8,218.37x = 11,342.77 × 7,945.00
  4. Step 4: Simplify right side
    8,218.37x = 90,118,304.12
  5. Step 5: Solve for x
    x = 90,118,304.12/8,218.37
  6. Step 6: Final answer
    x = 10,965.47

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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.