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Finding the Fourth Proportional to 8,563, 12,849.90 and 3,369.16

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Solution

The fourth proportional to 8,563, 12,849.90 and 3,369.16 is: 5,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563 : 12,849.90 = 3,369.16 : x
  2. Step 2: Convert to fraction form
    8,563/12,849.90 = 3,369.16/x
  3. Step 3: Cross multiply
    8,563x = 12,849.90 × 3,369.16
  4. Step 4: Simplify right side
    8,563x = 43,293,369.08
  5. Step 5: Solve for x
    x = 43,293,369.08/8,563
  6. Step 6: Final answer
    x = 5,055.86

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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.