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Finding the Fourth Proportional to 8,242.64, 12,365.54 and 2,694.48

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Solution

The fourth proportional to 8,242.64, 12,365.54 and 2,694.48 is: 4,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.64 : 12,365.54 = 2,694.48 : x
  2. Step 2: Convert to fraction form
    8,242.64/12,365.54 = 2,694.48/x
  3. Step 3: Cross multiply
    8,242.64x = 12,365.54 × 2,694.48
  4. Step 4: Simplify right side
    8,242.64x = 33,318,700.22
  5. Step 5: Solve for x
    x = 33,318,700.22/8,242.64
  6. Step 6: Final answer
    x = 4,042.24

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