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Finding the Fourth Proportional to 7,893.84, 11,844.84 and 3,514.32

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Solution

The fourth proportional to 7,893.84, 11,844.84 and 3,514.32 is: 5,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.84 : 11,844.84 = 3,514.32 : x
  2. Step 2: Convert to fraction form
    7,893.84/11,844.84 = 3,514.32/x
  3. Step 3: Cross multiply
    7,893.84x = 11,844.84 × 3,514.32
  4. Step 4: Simplify right side
    7,893.84x = 41,626,558.11
  5. Step 5: Solve for x
    x = 41,626,558.11/7,893.84
  6. Step 6: Final answer
    x = 5,273.30

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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.