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Finding the Fourth Proportional to 8,564.20, 12,843.12 and 3,566.30

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Solution

The fourth proportional to 8,564.20, 12,843.12 and 3,566.30 is: 5,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.20 : 12,843.12 = 3,566.30 : x
  2. Step 2: Convert to fraction form
    8,564.20/12,843.12 = 3,566.30/x
  3. Step 3: Cross multiply
    8,564.20x = 12,843.12 × 3,566.30
  4. Step 4: Simplify right side
    8,564.20x = 45,802,368.01
  5. Step 5: Solve for x
    x = 45,802,368.01/8,564.20
  6. Step 6: Final answer
    x = 5,348.12

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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.