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Finding the Fourth Proportional to 7,026.67, 10,542.74 and 3,128.41

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Solution

The fourth proportional to 7,026.67, 10,542.74 and 3,128.41 is: 4,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.67 : 10,542.74 = 3,128.41 : x
  2. Step 2: Convert to fraction form
    7,026.67/10,542.74 = 3,128.41/x
  3. Step 3: Cross multiply
    7,026.67x = 10,542.74 × 3,128.41
  4. Step 4: Simplify right side
    7,026.67x = 32,982,013.24
  5. Step 5: Solve for x
    x = 32,982,013.24/7,026.67
  6. Step 6: Final answer
    x = 4,693.83

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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.