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Finding the Fourth Proportional to 8,170.58, 11,277.97 and 4,636.14

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Solution

The fourth proportional to 8,170.58, 11,277.97 and 4,636.14 is: 6,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.58 : 11,277.97 = 4,636.14 : x
  2. Step 2: Convert to fraction form
    8,170.58/11,277.97 = 4,636.14/x
  3. Step 3: Cross multiply
    8,170.58x = 11,277.97 × 4,636.14
  4. Step 4: Simplify right side
    8,170.58x = 52,286,247.84
  5. Step 5: Solve for x
    x = 52,286,247.84/8,170.58
  6. Step 6: Final answer
    x = 6,399.33

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