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Finding the Fourth Proportional to 12,378, 18,552.85 and 4,977.73

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Solution

The fourth proportional to 12,378, 18,552.85 and 4,977.73 is: 7,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378 : 18,552.85 = 4,977.73 : x
  2. Step 2: Convert to fraction form
    12,378/18,552.85 = 4,977.73/x
  3. Step 3: Cross multiply
    12,378x = 18,552.85 × 4,977.73
  4. Step 4: Simplify right side
    12,378x = 92,351,019.20
  5. Step 5: Solve for x
    x = 92,351,019.20/12,378
  6. Step 6: Final answer
    x = 7,460.90

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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.