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Finding the Fourth Proportional to 10,563.50, 15,845.48 and 3,992.78

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Solution

The fourth proportional to 10,563.50, 15,845.48 and 3,992.78 is: 5,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.50 : 15,845.48 = 3,992.78 : x
  2. Step 2: Convert to fraction form
    10,563.50/15,845.48 = 3,992.78/x
  3. Step 3: Cross multiply
    10,563.50x = 15,845.48 × 3,992.78
  4. Step 4: Simplify right side
    10,563.50x = 63,267,495.67
  5. Step 5: Solve for x
    x = 63,267,495.67/10,563.50
  6. Step 6: Final answer
    x = 5,989.26

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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.