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Finding the Fourth Proportional to 7,231.66, 10,846.23 and 3,335.74

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Solution

The fourth proportional to 7,231.66, 10,846.23 and 3,335.74 is: 5,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.66 : 10,846.23 = 3,335.74 : x
  2. Step 2: Convert to fraction form
    7,231.66/10,846.23 = 3,335.74/x
  3. Step 3: Cross multiply
    7,231.66x = 10,846.23 × 3,335.74
  4. Step 4: Simplify right side
    7,231.66x = 36,180,203.26
  5. Step 5: Solve for x
    x = 36,180,203.26/7,231.66
  6. Step 6: Final answer
    x = 5,003.03

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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.