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Finding the Fourth Proportional to 12,610.49, 18,919.68 and 5,218.43

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Solution

The fourth proportional to 12,610.49, 18,919.68 and 5,218.43 is: 7,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.49 : 18,919.68 = 5,218.43 : x
  2. Step 2: Convert to fraction form
    12,610.49/18,919.68 = 5,218.43/x
  3. Step 3: Cross multiply
    12,610.49x = 18,919.68 × 5,218.43
  4. Step 4: Simplify right side
    12,610.49x = 98,730,911.53
  5. Step 5: Solve for x
    x = 98,730,911.53/12,610.49
  6. Step 6: Final answer
    x = 7,829.27

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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.