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Finding the Fourth Proportional to 8,094.30, 12,141.75 and 2,828.28

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Solution

The fourth proportional to 8,094.30, 12,141.75 and 2,828.28 is: 4,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.30 : 12,141.75 = 2,828.28 : x
  2. Step 2: Convert to fraction form
    8,094.30/12,141.75 = 2,828.28/x
  3. Step 3: Cross multiply
    8,094.30x = 12,141.75 × 2,828.28
  4. Step 4: Simplify right side
    8,094.30x = 34,340,268.69
  5. Step 5: Solve for x
    x = 34,340,268.69/8,094.30
  6. Step 6: Final answer
    x = 4,242.52

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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.