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Finding the Fourth Proportional to 7,343, 10,133.24 and 3,985.82

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Solution

The fourth proportional to 7,343, 10,133.24 and 3,985.82 is: 5,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343 : 10,133.24 = 3,985.82 : x
  2. Step 2: Convert to fraction form
    7,343/10,133.24 = 3,985.82/x
  3. Step 3: Cross multiply
    7,343x = 10,133.24 × 3,985.82
  4. Step 4: Simplify right side
    7,343x = 40,389,270.66
  5. Step 5: Solve for x
    x = 40,389,270.66/7,343
  6. Step 6: Final answer
    x = 5,500.38

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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.