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Finding the Fourth Proportional to 8,272.29, 12,408.63 and 2,428.89

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Solution

The fourth proportional to 8,272.29, 12,408.63 and 2,428.89 is: 3,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.29 : 12,408.63 = 2,428.89 : x
  2. Step 2: Convert to fraction form
    8,272.29/12,408.63 = 2,428.89/x
  3. Step 3: Cross multiply
    8,272.29x = 12,408.63 × 2,428.89
  4. Step 4: Simplify right side
    8,272.29x = 30,139,197.32
  5. Step 5: Solve for x
    x = 30,139,197.32/8,272.29
  6. Step 6: Final answer
    x = 3,643.39

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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.