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Finding the Fourth Proportional to 7,202.46, 10,783.62 and 3,684.90

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Solution

The fourth proportional to 7,202.46, 10,783.62 and 3,684.90 is: 5,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.46 : 10,783.62 = 3,684.90 : x
  2. Step 2: Convert to fraction form
    7,202.46/10,783.62 = 3,684.90/x
  3. Step 3: Cross multiply
    7,202.46x = 10,783.62 × 3,684.90
  4. Step 4: Simplify right side
    7,202.46x = 39,736,561.34
  5. Step 5: Solve for x
    x = 39,736,561.34/7,202.46
  6. Step 6: Final answer
    x = 5,517.08

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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.