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Finding the Fourth Proportional to 7,863.18, 11,796.80 and 2,316.30

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Solution

The fourth proportional to 7,863.18, 11,796.80 and 2,316.30 is: 3,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.18 : 11,796.80 = 2,316.30 : x
  2. Step 2: Convert to fraction form
    7,863.18/11,796.80 = 2,316.30/x
  3. Step 3: Cross multiply
    7,863.18x = 11,796.80 × 2,316.30
  4. Step 4: Simplify right side
    7,863.18x = 27,324,927.84
  5. Step 5: Solve for x
    x = 27,324,927.84/7,863.18
  6. Step 6: Final answer
    x = 3,475.05

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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.