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Finding the Fourth Proportional to 7,682.52, 11,514.43 and 4,164.18

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Solution

The fourth proportional to 7,682.52, 11,514.43 and 4,164.18 is: 6,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.52 : 11,514.43 = 4,164.18 : x
  2. Step 2: Convert to fraction form
    7,682.52/11,514.43 = 4,164.18/x
  3. Step 3: Cross multiply
    7,682.52x = 11,514.43 × 4,164.18
  4. Step 4: Simplify right side
    7,682.52x = 47,948,148.71
  5. Step 5: Solve for x
    x = 47,948,148.71/7,682.52
  6. Step 6: Final answer
    x = 6,241.20

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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.