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Finding the Fourth Proportional to 7,343.40, 10,133.70 and 4,199.38

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Solution

The fourth proportional to 7,343.40, 10,133.70 and 4,199.38 is: 5,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.40 : 10,133.70 = 4,199.38 : x
  2. Step 2: Convert to fraction form
    7,343.40/10,133.70 = 4,199.38/x
  3. Step 3: Cross multiply
    7,343.40x = 10,133.70 × 4,199.38
  4. Step 4: Simplify right side
    7,343.40x = 42,555,257.11
  5. Step 5: Solve for x
    x = 42,555,257.11/7,343.40
  6. Step 6: Final answer
    x = 5,795.03

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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.