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Finding the Fourth Proportional to 7,958.76, 11,940.16 and 4,674.61

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Solution

The fourth proportional to 7,958.76, 11,940.16 and 4,674.61 is: 7,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.76 : 11,940.16 = 4,674.61 : x
  2. Step 2: Convert to fraction form
    7,958.76/11,940.16 = 4,674.61/x
  3. Step 3: Cross multiply
    7,958.76x = 11,940.16 × 4,674.61
  4. Step 4: Simplify right side
    7,958.76x = 55,815,591.34
  5. Step 5: Solve for x
    x = 55,815,591.34/7,958.76
  6. Step 6: Final answer
    x = 7,013.10

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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.