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Finding the Fourth Proportional to 7,917.96, 11,898.51 and 4,222.86

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Solution

The fourth proportional to 7,917.96, 11,898.51 and 4,222.86 is: 6,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.96 : 11,898.51 = 4,222.86 : x
  2. Step 2: Convert to fraction form
    7,917.96/11,898.51 = 4,222.86/x
  3. Step 3: Cross multiply
    7,917.96x = 11,898.51 × 4,222.86
  4. Step 4: Simplify right side
    7,917.96x = 50,245,741.94
  5. Step 5: Solve for x
    x = 50,245,741.94/7,917.96
  6. Step 6: Final answer
    x = 6,345.79

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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.