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Finding the Fourth Proportional to 8,408.68, 12,599.18 and 5,111.80

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Solution

The fourth proportional to 8,408.68, 12,599.18 and 5,111.80 is: 7,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.68 : 12,599.18 = 5,111.80 : x
  2. Step 2: Convert to fraction form
    8,408.68/12,599.18 = 5,111.80/x
  3. Step 3: Cross multiply
    8,408.68x = 12,599.18 × 5,111.80
  4. Step 4: Simplify right side
    8,408.68x = 64,404,488.32
  5. Step 5: Solve for x
    x = 64,404,488.32/8,408.68
  6. Step 6: Final answer
    x = 7,659.29

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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.