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Finding the Fourth Proportional to 7,286.70, 10,927.31 and 2,355.01

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Solution

The fourth proportional to 7,286.70, 10,927.31 and 2,355.01 is: 3,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.70 : 10,927.31 = 2,355.01 : x
  2. Step 2: Convert to fraction form
    7,286.70/10,927.31 = 2,355.01/x
  3. Step 3: Cross multiply
    7,286.70x = 10,927.31 × 2,355.01
  4. Step 4: Simplify right side
    7,286.70x = 25,733,946.23
  5. Step 5: Solve for x
    x = 25,733,946.23/7,286.70
  6. Step 6: Final answer
    x = 3,531.63

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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.