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Finding the Fourth Proportional to 12,178.78, 18,265.03 and 4,783.28

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Solution

The fourth proportional to 12,178.78, 18,265.03 and 4,783.28 is: 7,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.78 : 18,265.03 = 4,783.28 : x
  2. Step 2: Convert to fraction form
    12,178.78/18,265.03 = 4,783.28/x
  3. Step 3: Cross multiply
    12,178.78x = 18,265.03 × 4,783.28
  4. Step 4: Simplify right side
    12,178.78x = 87,366,649.42
  5. Step 5: Solve for x
    x = 87,366,649.42/12,178.78
  6. Step 6: Final answer
    x = 7,173.68

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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.