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Finding the Fourth Proportional to 7,901.68, 11,850.35 and 2,968.62

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Solution

The fourth proportional to 7,901.68, 11,850.35 and 2,968.62 is: 4,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.68 : 11,850.35 = 2,968.62 : x
  2. Step 2: Convert to fraction form
    7,901.68/11,850.35 = 2,968.62/x
  3. Step 3: Cross multiply
    7,901.68x = 11,850.35 × 2,968.62
  4. Step 4: Simplify right side
    7,901.68x = 35,179,243.42
  5. Step 5: Solve for x
    x = 35,179,243.42/7,901.68
  6. Step 6: Final answer
    x = 4,452.12

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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.