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Finding the Fourth Proportional to 7,311.49, 10,089.83 and 3,954.31

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Solution

The fourth proportional to 7,311.49, 10,089.83 and 3,954.31 is: 5,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.49 : 10,089.83 = 3,954.31 : x
  2. Step 2: Convert to fraction form
    7,311.49/10,089.83 = 3,954.31/x
  3. Step 3: Cross multiply
    7,311.49x = 10,089.83 × 3,954.31
  4. Step 4: Simplify right side
    7,311.49x = 39,898,315.67
  5. Step 5: Solve for x
    x = 39,898,315.67/7,311.49
  6. Step 6: Final answer
    x = 5,456.93

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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.