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Finding the Fourth Proportional to 7,863.30, 11,784.47 and 2,927.97

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Solution

The fourth proportional to 7,863.30, 11,784.47 and 2,927.97 is: 4,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.30 : 11,784.47 = 2,927.97 : x
  2. Step 2: Convert to fraction form
    7,863.30/11,784.47 = 2,927.97/x
  3. Step 3: Cross multiply
    7,863.30x = 11,784.47 × 2,927.97
  4. Step 4: Simplify right side
    7,863.30x = 34,504,559.99
  5. Step 5: Solve for x
    x = 34,504,559.99/7,863.30
  6. Step 6: Final answer
    x = 4,388.05

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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.