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Finding the Fourth Proportional to 8,200.80, 11,313.70 and 5,218.28

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Solution

The fourth proportional to 8,200.80, 11,313.70 and 5,218.28 is: 7,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.80 : 11,313.70 = 5,218.28 : x
  2. Step 2: Convert to fraction form
    8,200.80/11,313.70 = 5,218.28/x
  3. Step 3: Cross multiply
    8,200.80x = 11,313.70 × 5,218.28
  4. Step 4: Simplify right side
    8,200.80x = 59,038,054.44
  5. Step 5: Solve for x
    x = 59,038,054.44/8,200.80
  6. Step 6: Final answer
    x = 7,199.06

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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.