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Finding the Fourth Proportional to 8,094.51, 12,142.64 and 2,548.02

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Solution

The fourth proportional to 8,094.51, 12,142.64 and 2,548.02 is: 3,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.51 : 12,142.64 = 2,548.02 : x
  2. Step 2: Convert to fraction form
    8,094.51/12,142.64 = 2,548.02/x
  3. Step 3: Cross multiply
    8,094.51x = 12,142.64 × 2,548.02
  4. Step 4: Simplify right side
    8,094.51x = 30,939,736.70
  5. Step 5: Solve for x
    x = 30,939,736.70/8,094.51
  6. Step 6: Final answer
    x = 3,822.31

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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.