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Finding the Fourth Proportional to 10,102.11, 15,161.07 and 7,003.94

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Solution

The fourth proportional to 10,102.11, 15,161.07 and 7,003.94 is: 10,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.11 : 15,161.07 = 7,003.94 : x
  2. Step 2: Convert to fraction form
    10,102.11/15,161.07 = 7,003.94/x
  3. Step 3: Cross multiply
    10,102.11x = 15,161.07 × 7,003.94
  4. Step 4: Simplify right side
    10,102.11x = 106,187,158.62
  5. Step 5: Solve for x
    x = 106,187,158.62/10,102.11
  6. Step 6: Final answer
    x = 10,511.38

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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.