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Finding the Fourth Proportional to 7,940.35, 11,888.64 and 5,311.84

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Solution

The fourth proportional to 7,940.35, 11,888.64 and 5,311.84 is: 7,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.35 : 11,888.64 = 5,311.84 : x
  2. Step 2: Convert to fraction form
    7,940.35/11,888.64 = 5,311.84/x
  3. Step 3: Cross multiply
    7,940.35x = 11,888.64 × 5,311.84
  4. Step 4: Simplify right side
    7,940.35x = 63,150,553.50
  5. Step 5: Solve for x
    x = 63,150,553.50/7,940.35
  6. Step 6: Final answer
    x = 7,953.12

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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.