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Finding the Fourth Proportional to 8,171.90, 11,277.46 and 5,786.14

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Solution

The fourth proportional to 8,171.90, 11,277.46 and 5,786.14 is: 7,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.90 : 11,277.46 = 5,786.14 : x
  2. Step 2: Convert to fraction form
    8,171.90/11,277.46 = 5,786.14/x
  3. Step 3: Cross multiply
    8,171.90x = 11,277.46 × 5,786.14
  4. Step 4: Simplify right side
    8,171.90x = 65,252,962.40
  5. Step 5: Solve for x
    x = 65,252,962.40/8,171.90
  6. Step 6: Final answer
    x = 7,985.04

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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.