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Finding the Fourth Proportional to 7,343.25, 10,133.70 and 4,199.43

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Solution

The fourth proportional to 7,343.25, 10,133.70 and 4,199.43 is: 5,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.25 : 10,133.70 = 4,199.43 : x
  2. Step 2: Convert to fraction form
    7,343.25/10,133.70 = 4,199.43/x
  3. Step 3: Cross multiply
    7,343.25x = 10,133.70 × 4,199.43
  4. Step 4: Simplify right side
    7,343.25x = 42,555,763.79
  5. Step 5: Solve for x
    x = 42,555,763.79/7,343.25
  6. Step 6: Final answer
    x = 5,795.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.