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Finding the Fourth Proportional to 7,887.30, 11,830.71 and 3,205.92

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Solution

The fourth proportional to 7,887.30, 11,830.71 and 3,205.92 is: 4,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.30 : 11,830.71 = 3,205.92 : x
  2. Step 2: Convert to fraction form
    7,887.30/11,830.71 = 3,205.92/x
  3. Step 3: Cross multiply
    7,887.30x = 11,830.71 × 3,205.92
  4. Step 4: Simplify right side
    7,887.30x = 37,928,309.80
  5. Step 5: Solve for x
    x = 37,928,309.80/7,887.30
  6. Step 6: Final answer
    x = 4,808.78

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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.