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Finding the Fourth Proportional to 7,309.26, 10,957.41 and 3,842.46

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Solution

The fourth proportional to 7,309.26, 10,957.41 and 3,842.46 is: 5,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.26 : 10,957.41 = 3,842.46 : x
  2. Step 2: Convert to fraction form
    7,309.26/10,957.41 = 3,842.46/x
  3. Step 3: Cross multiply
    7,309.26x = 10,957.41 × 3,842.46
  4. Step 4: Simplify right side
    7,309.26x = 42,103,409.63
  5. Step 5: Solve for x
    x = 42,103,409.63/7,309.26
  6. Step 6: Final answer
    x = 5,760.28

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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.