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Finding the Fourth Proportional to 10,827.02, 16,243.50 and 3,432.54

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Solution

The fourth proportional to 10,827.02, 16,243.50 and 3,432.54 is: 5,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.02 : 16,243.50 = 3,432.54 : x
  2. Step 2: Convert to fraction form
    10,827.02/16,243.50 = 3,432.54/x
  3. Step 3: Cross multiply
    10,827.02x = 16,243.50 × 3,432.54
  4. Step 4: Simplify right side
    10,827.02x = 55,756,463.49
  5. Step 5: Solve for x
    x = 55,756,463.49/10,827.02
  6. Step 6: Final answer
    x = 5,149.75

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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.