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Finding the Fourth Proportional to 7,964.64, 10,996.24 and 4,984.64

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Solution

The fourth proportional to 7,964.64, 10,996.24 and 4,984.64 is: 6,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.64 : 10,996.24 = 4,984.64 : x
  2. Step 2: Convert to fraction form
    7,964.64/10,996.24 = 4,984.64/x
  3. Step 3: Cross multiply
    7,964.64x = 10,996.24 × 4,984.64
  4. Step 4: Simplify right side
    7,964.64x = 54,812,297.75
  5. Step 5: Solve for x
    x = 54,812,297.75/7,964.64
  6. Step 6: Final answer
    x = 6,881.96

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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.