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Finding the Fourth Proportional to 8,564.28, 11,817.44 and 4,786.90

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Solution

The fourth proportional to 8,564.28, 11,817.44 and 4,786.90 is: 6,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.28 : 11,817.44 = 4,786.90 : x
  2. Step 2: Convert to fraction form
    8,564.28/11,817.44 = 4,786.90/x
  3. Step 3: Cross multiply
    8,564.28x = 11,817.44 × 4,786.90
  4. Step 4: Simplify right side
    8,564.28x = 56,568,894.94
  5. Step 5: Solve for x
    x = 56,568,894.94/8,564.28
  6. Step 6: Final answer
    x = 6,605.21

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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.