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Finding the Fourth Proportional to 8,563.56, 11,810.23 and 6,578.25

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Solution

The fourth proportional to 8,563.56, 11,810.23 and 6,578.25 is: 9,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.56 : 11,810.23 = 6,578.25 : x
  2. Step 2: Convert to fraction form
    8,563.56/11,810.23 = 6,578.25/x
  3. Step 3: Cross multiply
    8,563.56x = 11,810.23 × 6,578.25
  4. Step 4: Simplify right side
    8,563.56x = 77,690,645.50
  5. Step 5: Solve for x
    x = 77,690,645.50/8,563.56
  6. Step 6: Final answer
    x = 9,072.24

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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.