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Finding the Fourth Proportional to 7,914.30, 11,873.52 and 2,983.98

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Solution

The fourth proportional to 7,914.30, 11,873.52 and 2,983.98 is: 4,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.30 : 11,873.52 = 2,983.98 : x
  2. Step 2: Convert to fraction form
    7,914.30/11,873.52 = 2,983.98/x
  3. Step 3: Cross multiply
    7,914.30x = 11,873.52 × 2,983.98
  4. Step 4: Simplify right side
    7,914.30x = 35,430,346.21
  5. Step 5: Solve for x
    x = 35,430,346.21/7,914.30
  6. Step 6: Final answer
    x = 4,476.75

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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.