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Finding the Fourth Proportional to 8,514.87, 11,742.44 and 5,638.47

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Solution

The fourth proportional to 8,514.87, 11,742.44 and 5,638.47 is: 7,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.87 : 11,742.44 = 5,638.47 : x
  2. Step 2: Convert to fraction form
    8,514.87/11,742.44 = 5,638.47/x
  3. Step 3: Cross multiply
    8,514.87x = 11,742.44 × 5,638.47
  4. Step 4: Simplify right side
    8,514.87x = 66,209,367.47
  5. Step 5: Solve for x
    x = 66,209,367.47/8,514.87
  6. Step 6: Final answer
    x = 7,775.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.