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Finding the Fourth Proportional to 8,419.36, 12,628.60 and 2,575.98

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Solution

The fourth proportional to 8,419.36, 12,628.60 and 2,575.98 is: 3,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.36 : 12,628.60 = 2,575.98 : x
  2. Step 2: Convert to fraction form
    8,419.36/12,628.60 = 2,575.98/x
  3. Step 3: Cross multiply
    8,419.36x = 12,628.60 × 2,575.98
  4. Step 4: Simplify right side
    8,419.36x = 32,531,021.03
  5. Step 5: Solve for x
    x = 32,531,021.03/8,419.36
  6. Step 6: Final answer
    x = 3,863.84

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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.