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Finding the Fourth Proportional to 12,616.35, 18,926.82 and 5,216.79

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Solution

The fourth proportional to 12,616.35, 18,926.82 and 5,216.79 is: 7,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.35 : 18,926.82 = 5,216.79 : x
  2. Step 2: Convert to fraction form
    12,616.35/18,926.82 = 5,216.79/x
  3. Step 3: Cross multiply
    12,616.35x = 18,926.82 × 5,216.79
  4. Step 4: Simplify right side
    12,616.35x = 98,737,245.31
  5. Step 5: Solve for x
    x = 98,737,245.31/12,616.35
  6. Step 6: Final answer
    x = 7,826.13

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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.