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Finding the Fourth Proportional to 12,778.62, 19,178.93 and 4,992.90

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Solution

The fourth proportional to 12,778.62, 19,178.93 and 4,992.90 is: 7,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.62 : 19,178.93 = 4,992.90 : x
  2. Step 2: Convert to fraction form
    12,778.62/19,178.93 = 4,992.90/x
  3. Step 3: Cross multiply
    12,778.62x = 19,178.93 × 4,992.90
  4. Step 4: Simplify right side
    12,778.62x = 95,758,479.60
  5. Step 5: Solve for x
    x = 95,758,479.60/12,778.62
  6. Step 6: Final answer
    x = 7,493.65

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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.