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Finding the Fourth Proportional to 7,289.28, 10,916.10 and 3,394.80

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Solution

The fourth proportional to 7,289.28, 10,916.10 and 3,394.80 is: 5,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.28 : 10,916.10 = 3,394.80 : x
  2. Step 2: Convert to fraction form
    7,289.28/10,916.10 = 3,394.80/x
  3. Step 3: Cross multiply
    7,289.28x = 10,916.10 × 3,394.80
  4. Step 4: Simplify right side
    7,289.28x = 37,057,976.28
  5. Step 5: Solve for x
    x = 37,057,976.28/7,289.28
  6. Step 6: Final answer
    x = 5,083.90

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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.