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Finding the Fourth Proportional to 7,107.88, 10,664.89 and 3,817.13

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Solution

The fourth proportional to 7,107.88, 10,664.89 and 3,817.13 is: 5,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.88 : 10,664.89 = 3,817.13 : x
  2. Step 2: Convert to fraction form
    7,107.88/10,664.89 = 3,817.13/x
  3. Step 3: Cross multiply
    7,107.88x = 10,664.89 × 3,817.13
  4. Step 4: Simplify right side
    7,107.88x = 40,709,271.57
  5. Step 5: Solve for x
    x = 40,709,271.57/7,107.88
  6. Step 6: Final answer
    x = 5,727.34

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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.