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Finding the Fourth Proportional to 7,812.41, 11,717.31 and 3,652.85

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Solution

The fourth proportional to 7,812.41, 11,717.31 and 3,652.85 is: 5,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.41 : 11,717.31 = 3,652.85 : x
  2. Step 2: Convert to fraction form
    7,812.41/11,717.31 = 3,652.85/x
  3. Step 3: Cross multiply
    7,812.41x = 11,717.31 × 3,652.85
  4. Step 4: Simplify right side
    7,812.41x = 42,801,575.83
  5. Step 5: Solve for x
    x = 42,801,575.83/7,812.41
  6. Step 6: Final answer
    x = 5,478.66

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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.