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Finding the Fourth Proportional to 10,563.75, 15,851.09 and 5,369.63

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Solution

The fourth proportional to 10,563.75, 15,851.09 and 5,369.63 is: 8,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.75 : 15,851.09 = 5,369.63 : x
  2. Step 2: Convert to fraction form
    10,563.75/15,851.09 = 5,369.63/x
  3. Step 3: Cross multiply
    10,563.75x = 15,851.09 × 5,369.63
  4. Step 4: Simplify right side
    10,563.75x = 85,114,422.57
  5. Step 5: Solve for x
    x = 85,114,422.57/10,563.75
  6. Step 6: Final answer
    x = 8,057.22

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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.