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Finding the Fourth Proportional to 12,076.75, 18,114.76 and 4,960.74

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Solution

The fourth proportional to 12,076.75, 18,114.76 and 4,960.74 is: 7,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.75 : 18,114.76 = 4,960.74 : x
  2. Step 2: Convert to fraction form
    12,076.75/18,114.76 = 4,960.74/x
  3. Step 3: Cross multiply
    12,076.75x = 18,114.76 × 4,960.74
  4. Step 4: Simplify right side
    12,076.75x = 89,862,614.52
  5. Step 5: Solve for x
    x = 89,862,614.52/12,076.75
  6. Step 6: Final answer
    x = 7,440.96

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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.