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Finding the Fourth Proportional to 7,297.31, 10,945.98 and 2,103.19

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Solution

The fourth proportional to 7,297.31, 10,945.98 and 2,103.19 is: 3,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.31 : 10,945.98 = 2,103.19 : x
  2. Step 2: Convert to fraction form
    7,297.31/10,945.98 = 2,103.19/x
  3. Step 3: Cross multiply
    7,297.31x = 10,945.98 × 2,103.19
  4. Step 4: Simplify right side
    7,297.31x = 23,021,448.31
  5. Step 5: Solve for x
    x = 23,021,448.31/7,297.31
  6. Step 6: Final answer
    x = 3,154.78

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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.