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Finding the Fourth Proportional to 7,976.03, 11,956.32 and 4,467.74

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Solution

The fourth proportional to 7,976.03, 11,956.32 and 4,467.74 is: 6,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.03 : 11,956.32 = 4,467.74 : x
  2. Step 2: Convert to fraction form
    7,976.03/11,956.32 = 4,467.74/x
  3. Step 3: Cross multiply
    7,976.03x = 11,956.32 × 4,467.74
  4. Step 4: Simplify right side
    7,976.03x = 53,417,669.34
  5. Step 5: Solve for x
    x = 53,417,669.34/7,976.03
  6. Step 6: Final answer
    x = 6,697.28

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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.