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Finding the Fourth Proportional to 11,716.32, 17,568.18 and 5,134.86

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Solution

The fourth proportional to 11,716.32, 17,568.18 and 5,134.86 is: 7,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.32 : 17,568.18 = 5,134.86 : x
  2. Step 2: Convert to fraction form
    11,716.32/17,568.18 = 5,134.86/x
  3. Step 3: Cross multiply
    11,716.32x = 17,568.18 × 5,134.86
  4. Step 4: Simplify right side
    11,716.32x = 90,210,144.75
  5. Step 5: Solve for x
    x = 90,210,144.75/11,716.32
  6. Step 6: Final answer
    x = 7,699.53

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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.