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Finding the Fourth Proportional to 7,856.15, 11,784.22 and 2,309.54

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Solution

The fourth proportional to 7,856.15, 11,784.22 and 2,309.54 is: 3,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.15 : 11,784.22 = 2,309.54 : x
  2. Step 2: Convert to fraction form
    7,856.15/11,784.22 = 2,309.54/x
  3. Step 3: Cross multiply
    7,856.15x = 11,784.22 × 2,309.54
  4. Step 4: Simplify right side
    7,856.15x = 27,216,115.62
  5. Step 5: Solve for x
    x = 27,216,115.62/7,856.15
  6. Step 6: Final answer
    x = 3,464.31

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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.