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Finding the Fourth Proportional to 7,241.40, 10,842.66 and 3,771.36

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Solution

The fourth proportional to 7,241.40, 10,842.66 and 3,771.36 is: 5,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.40 : 10,842.66 = 3,771.36 : x
  2. Step 2: Convert to fraction form
    7,241.40/10,842.66 = 3,771.36/x
  3. Step 3: Cross multiply
    7,241.40x = 10,842.66 × 3,771.36
  4. Step 4: Simplify right side
    7,241.40x = 40,891,574.22
  5. Step 5: Solve for x
    x = 40,891,574.22/7,241.40
  6. Step 6: Final answer
    x = 5,646.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.