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Finding the Fourth Proportional to 6,950.31, 10,428.03 and 3,253.74

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Solution

The fourth proportional to 6,950.31, 10,428.03 and 3,253.74 is: 4,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.31 : 10,428.03 = 3,253.74 : x
  2. Step 2: Convert to fraction form
    6,950.31/10,428.03 = 3,253.74/x
  3. Step 3: Cross multiply
    6,950.31x = 10,428.03 × 3,253.74
  4. Step 4: Simplify right side
    6,950.31x = 33,930,098.33
  5. Step 5: Solve for x
    x = 33,930,098.33/6,950.31
  6. Step 6: Final answer
    x = 4,881.81

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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.