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Finding the Fourth Proportional to 7,956.82, 10,976.88 and 5,301.64

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Solution

The fourth proportional to 7,956.82, 10,976.88 and 5,301.64 is: 7,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.82 : 10,976.88 = 5,301.64 : x
  2. Step 2: Convert to fraction form
    7,956.82/10,976.88 = 5,301.64/x
  3. Step 3: Cross multiply
    7,956.82x = 10,976.88 × 5,301.64
  4. Step 4: Simplify right side
    7,956.82x = 58,195,466.08
  5. Step 5: Solve for x
    x = 58,195,466.08/7,956.82
  6. Step 6: Final answer
    x = 7,313.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.