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Finding the Fourth Proportional to 11,038.56, 16,563.78 and 8,578.32

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Solution

The fourth proportional to 11,038.56, 16,563.78 and 8,578.32 is: 12,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.56 : 16,563.78 = 8,578.32 : x
  2. Step 2: Convert to fraction form
    11,038.56/16,563.78 = 8,578.32/x
  3. Step 3: Cross multiply
    11,038.56x = 16,563.78 × 8,578.32
  4. Step 4: Simplify right side
    11,038.56x = 142,089,405.25
  5. Step 5: Solve for x
    x = 142,089,405.25/11,038.56
  6. Step 6: Final answer
    x = 12,872.10

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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.