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Finding the Fourth Proportional to 7,343.64, 10,134.81 and 4,200.42

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Solution

The fourth proportional to 7,343.64, 10,134.81 and 4,200.42 is: 5,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.64 : 10,134.81 = 4,200.42 : x
  2. Step 2: Convert to fraction form
    7,343.64/10,134.81 = 4,200.42/x
  3. Step 3: Cross multiply
    7,343.64x = 10,134.81 × 4,200.42
  4. Step 4: Simplify right side
    7,343.64x = 42,570,458.62
  5. Step 5: Solve for x
    x = 42,570,458.62/7,343.64
  6. Step 6: Final answer
    x = 5,796.92

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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.