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Finding the Fourth Proportional to 7,402.68, 11,107.14 and 3,939

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Solution

The fourth proportional to 7,402.68, 11,107.14 and 3,939 is: 5,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.68 : 11,107.14 = 3,939 : x
  2. Step 2: Convert to fraction form
    7,402.68/11,107.14 = 3,939/x
  3. Step 3: Cross multiply
    7,402.68x = 11,107.14 × 3,939
  4. Step 4: Simplify right side
    7,402.68x = 43,751,024.46
  5. Step 5: Solve for x
    x = 43,751,024.46/7,402.68
  6. Step 6: Final answer
    x = 5,910.16

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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.