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Finding the Fourth Proportional to 10,003.97, 15,015.68 and 4,813.49

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Solution

The fourth proportional to 10,003.97, 15,015.68 and 4,813.49 is: 7,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.97 : 15,015.68 = 4,813.49 : x
  2. Step 2: Convert to fraction form
    10,003.97/15,015.68 = 4,813.49/x
  3. Step 3: Cross multiply
    10,003.97x = 15,015.68 × 4,813.49
  4. Step 4: Simplify right side
    10,003.97x = 72,277,857.05
  5. Step 5: Solve for x
    x = 72,277,857.05/10,003.97
  6. Step 6: Final answer
    x = 7,224.92

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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.