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Finding the Fourth Proportional to 8,263.64, 11,380.34 and 7,268.60

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Solution

The fourth proportional to 8,263.64, 11,380.34 and 7,268.60 is: 10,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.64 : 11,380.34 = 7,268.60 : x
  2. Step 2: Convert to fraction form
    8,263.64/11,380.34 = 7,268.60/x
  3. Step 3: Cross multiply
    8,263.64x = 11,380.34 × 7,268.60
  4. Step 4: Simplify right side
    8,263.64x = 82,719,139.32
  5. Step 5: Solve for x
    x = 82,719,139.32/8,263.64
  6. Step 6: Final answer
    x = 10,010.01

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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.