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Finding the Fourth Proportional to 7,149.88, 10,724.68 and 3,869.40

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Solution

The fourth proportional to 7,149.88, 10,724.68 and 3,869.40 is: 5,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.88 : 10,724.68 = 3,869.40 : x
  2. Step 2: Convert to fraction form
    7,149.88/10,724.68 = 3,869.40/x
  3. Step 3: Cross multiply
    7,149.88x = 10,724.68 × 3,869.40
  4. Step 4: Simplify right side
    7,149.88x = 41,498,076.79
  5. Step 5: Solve for x
    x = 41,498,076.79/7,149.88
  6. Step 6: Final answer
    x = 5,804.02

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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.