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Finding the Fourth Proportional to 8,202.57, 12,285.35 and 3,810.78

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Solution

The fourth proportional to 8,202.57, 12,285.35 and 3,810.78 is: 5,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.57 : 12,285.35 = 3,810.78 : x
  2. Step 2: Convert to fraction form
    8,202.57/12,285.35 = 3,810.78/x
  3. Step 3: Cross multiply
    8,202.57x = 12,285.35 × 3,810.78
  4. Step 4: Simplify right side
    8,202.57x = 46,816,766.07
  5. Step 5: Solve for x
    x = 46,816,766.07/8,202.57
  6. Step 6: Final answer
    x = 5,707.57

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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.