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Finding the Fourth Proportional to 7,321.76, 10,982.30 and 2,390.76

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Solution

The fourth proportional to 7,321.76, 10,982.30 and 2,390.76 is: 3,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.76 : 10,982.30 = 2,390.76 : x
  2. Step 2: Convert to fraction form
    7,321.76/10,982.30 = 2,390.76/x
  3. Step 3: Cross multiply
    7,321.76x = 10,982.30 × 2,390.76
  4. Step 4: Simplify right side
    7,321.76x = 26,256,043.55
  5. Step 5: Solve for x
    x = 26,256,043.55/7,321.76
  6. Step 6: Final answer
    x = 3,586.03

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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.