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Finding the Fourth Proportional to 9,716.41, 13,403.38 and 8,027.83

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Solution

The fourth proportional to 9,716.41, 13,403.38 and 8,027.83 is: 11,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.41 : 13,403.38 = 8,027.83 : x
  2. Step 2: Convert to fraction form
    9,716.41/13,403.38 = 8,027.83/x
  3. Step 3: Cross multiply
    9,716.41x = 13,403.38 × 8,027.83
  4. Step 4: Simplify right side
    9,716.41x = 107,600,056.07
  5. Step 5: Solve for x
    x = 107,600,056.07/9,716.41
  6. Step 6: Final answer
    x = 11,074.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.