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Finding the Fourth Proportional to 11,785.93, 17,684.65 and 5,546.57

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Solution

The fourth proportional to 11,785.93, 17,684.65 and 5,546.57 is: 8,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.93 : 17,684.65 = 5,546.57 : x
  2. Step 2: Convert to fraction form
    11,785.93/17,684.65 = 5,546.57/x
  3. Step 3: Cross multiply
    11,785.93x = 17,684.65 × 5,546.57
  4. Step 4: Simplify right side
    11,785.93x = 98,089,036.46
  5. Step 5: Solve for x
    x = 98,089,036.46/11,785.93
  6. Step 6: Final answer
    x = 8,322.56

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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.