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Finding the Fourth Proportional to 7,940.98, 10,956.01 and 4,583.35

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Solution

The fourth proportional to 7,940.98, 10,956.01 and 4,583.35 is: 6,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.98 : 10,956.01 = 4,583.35 : x
  2. Step 2: Convert to fraction form
    7,940.98/10,956.01 = 4,583.35/x
  3. Step 3: Cross multiply
    7,940.98x = 10,956.01 × 4,583.35
  4. Step 4: Simplify right side
    7,940.98x = 50,215,228.43
  5. Step 5: Solve for x
    x = 50,215,228.43/7,940.98
  6. Step 6: Final answer
    x = 6,323.56

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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.