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Finding the Fourth Proportional to 7,012.44, 10,514.94 and 4,091.64

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Solution

The fourth proportional to 7,012.44, 10,514.94 and 4,091.64 is: 6,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.44 : 10,514.94 = 4,091.64 : x
  2. Step 2: Convert to fraction form
    7,012.44/10,514.94 = 4,091.64/x
  3. Step 3: Cross multiply
    7,012.44x = 10,514.94 × 4,091.64
  4. Step 4: Simplify right side
    7,012.44x = 43,023,349.10
  5. Step 5: Solve for x
    x = 43,023,349.10/7,012.44
  6. Step 6: Final answer
    x = 6,135.29

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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.