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Finding the Fourth Proportional to 7,958.80, 11,938.20 and 4,062.70

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Solution

The fourth proportional to 7,958.80, 11,938.20 and 4,062.70 is: 6,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.80 : 11,938.20 = 4,062.70 : x
  2. Step 2: Convert to fraction form
    7,958.80/11,938.20 = 4,062.70/x
  3. Step 3: Cross multiply
    7,958.80x = 11,938.20 × 4,062.70
  4. Step 4: Simplify right side
    7,958.80x = 48,501,325.14
  5. Step 5: Solve for x
    x = 48,501,325.14/7,958.80
  6. Step 6: Final answer
    x = 6,094.05

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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.