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Finding the Fourth Proportional to 7,295.73, 10,944.12 and 2,102.01

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Solution

The fourth proportional to 7,295.73, 10,944.12 and 2,102.01 is: 3,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.73 : 10,944.12 = 2,102.01 : x
  2. Step 2: Convert to fraction form
    7,295.73/10,944.12 = 2,102.01/x
  3. Step 3: Cross multiply
    7,295.73x = 10,944.12 × 2,102.01
  4. Step 4: Simplify right side
    7,295.73x = 23,004,649.68
  5. Step 5: Solve for x
    x = 23,004,649.68/7,295.73
  6. Step 6: Final answer
    x = 3,153.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.