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Finding the Fourth Proportional to 12,283.79, 18,429.27 and 3,963.64

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Solution

The fourth proportional to 12,283.79, 18,429.27 and 3,963.64 is: 5,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.79 : 18,429.27 = 3,963.64 : x
  2. Step 2: Convert to fraction form
    12,283.79/18,429.27 = 3,963.64/x
  3. Step 3: Cross multiply
    12,283.79x = 18,429.27 × 3,963.64
  4. Step 4: Simplify right side
    12,283.79x = 73,046,991.74
  5. Step 5: Solve for x
    x = 73,046,991.74/12,283.79
  6. Step 6: Final answer
    x = 5,946.62

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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.