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Finding the Fourth Proportional to 27,683.43, 41,520.68 and 7,957.50

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Solution

The fourth proportional to 27,683.43, 41,520.68 and 7,957.50 is: 11,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.43 : 41,520.68 = 7,957.50 : x
  2. Step 2: Convert to fraction form
    27,683.43/41,520.68 = 7,957.50/x
  3. Step 3: Cross multiply
    27,683.43x = 41,520.68 × 7,957.50
  4. Step 4: Simplify right side
    27,683.43x = 330,400,811.10
  5. Step 5: Solve for x
    x = 330,400,811.10/27,683.43
  6. Step 6: Final answer
    x = 11,934.97

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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.