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Finding the Fourth Proportional to 10,003.50, 13,805.64 and 5,812.56

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Solution

The fourth proportional to 10,003.50, 13,805.64 and 5,812.56 is: 8,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.50 : 13,805.64 = 5,812.56 : x
  2. Step 2: Convert to fraction form
    10,003.50/13,805.64 = 5,812.56/x
  3. Step 3: Cross multiply
    10,003.50x = 13,805.64 × 5,812.56
  4. Step 4: Simplify right side
    10,003.50x = 80,246,110.84
  5. Step 5: Solve for x
    x = 80,246,110.84/10,003.50
  6. Step 6: Final answer
    x = 8,021.80

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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.