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Finding the Fourth Proportional to 11,912.85, 16,432.86 and 7,428.81

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Solution

The fourth proportional to 11,912.85, 16,432.86 and 7,428.81 is: 10,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.85 : 16,432.86 = 7,428.81 : x
  2. Step 2: Convert to fraction form
    11,912.85/16,432.86 = 7,428.81/x
  3. Step 3: Cross multiply
    11,912.85x = 16,432.86 × 7,428.81
  4. Step 4: Simplify right side
    11,912.85x = 122,076,628.46
  5. Step 5: Solve for x
    x = 122,076,628.46/11,912.85
  6. Step 6: Final answer
    x = 10,247.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.