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Finding the Fourth Proportional to 7,114.67, 10,671.96 and 2,954.57

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Solution

The fourth proportional to 7,114.67, 10,671.96 and 2,954.57 is: 4,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.67 : 10,671.96 = 2,954.57 : x
  2. Step 2: Convert to fraction form
    7,114.67/10,671.96 = 2,954.57/x
  3. Step 3: Cross multiply
    7,114.67x = 10,671.96 × 2,954.57
  4. Step 4: Simplify right side
    7,114.67x = 31,531,052.86
  5. Step 5: Solve for x
    x = 31,531,052.86/7,114.67
  6. Step 6: Final answer
    x = 4,431.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.