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Finding the Fourth Proportional to 7,323.80, 10,107.14 and 4,137.78

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Solution

The fourth proportional to 7,323.80, 10,107.14 and 4,137.78 is: 5,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.80 : 10,107.14 = 4,137.78 : x
  2. Step 2: Convert to fraction form
    7,323.80/10,107.14 = 4,137.78/x
  3. Step 3: Cross multiply
    7,323.80x = 10,107.14 × 4,137.78
  4. Step 4: Simplify right side
    7,323.80x = 41,821,121.75
  5. Step 5: Solve for x
    x = 41,821,121.75/7,323.80
  6. Step 6: Final answer
    x = 5,710.30

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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.