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Finding the Fourth Proportional to 7,951.34, 11,927.26 and 4,000.43

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Solution

The fourth proportional to 7,951.34, 11,927.26 and 4,000.43 is: 6,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.34 : 11,927.26 = 4,000.43 : x
  2. Step 2: Convert to fraction form
    7,951.34/11,927.26 = 4,000.43/x
  3. Step 3: Cross multiply
    7,951.34x = 11,927.26 × 4,000.43
  4. Step 4: Simplify right side
    7,951.34x = 47,714,168.72
  5. Step 5: Solve for x
    x = 47,714,168.72/7,951.34
  6. Step 6: Final answer
    x = 6,000.77

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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.