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Finding the Fourth Proportional to 7,887.68, 11,830.61 and 3,202.94

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Solution

The fourth proportional to 7,887.68, 11,830.61 and 3,202.94 is: 4,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.68 : 11,830.61 = 3,202.94 : x
  2. Step 2: Convert to fraction form
    7,887.68/11,830.61 = 3,202.94/x
  3. Step 3: Cross multiply
    7,887.68x = 11,830.61 × 3,202.94
  4. Step 4: Simplify right side
    7,887.68x = 37,892,753.56
  5. Step 5: Solve for x
    x = 37,892,753.56/7,887.68
  6. Step 6: Final answer
    x = 4,804.04

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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.