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Finding the Fourth Proportional to 7,200.94, 10,802.31 and 2,817.83

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Solution

The fourth proportional to 7,200.94, 10,802.31 and 2,817.83 is: 4,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.94 : 10,802.31 = 2,817.83 : x
  2. Step 2: Convert to fraction form
    7,200.94/10,802.31 = 2,817.83/x
  3. Step 3: Cross multiply
    7,200.94x = 10,802.31 × 2,817.83
  4. Step 4: Simplify right side
    7,200.94x = 30,439,073.19
  5. Step 5: Solve for x
    x = 30,439,073.19/7,200.94
  6. Step 6: Final answer
    x = 4,227.10

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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.