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Finding the Fourth Proportional to 8,642.21, 12,962.27 and 5,086.46

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Solution

The fourth proportional to 8,642.21, 12,962.27 and 5,086.46 is: 7,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.21 : 12,962.27 = 5,086.46 : x
  2. Step 2: Convert to fraction form
    8,642.21/12,962.27 = 5,086.46/x
  3. Step 3: Cross multiply
    8,642.21x = 12,962.27 × 5,086.46
  4. Step 4: Simplify right side
    8,642.21x = 65,932,112.99
  5. Step 5: Solve for x
    x = 65,932,112.99/8,642.21
  6. Step 6: Final answer
    x = 7,629.08

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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.