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Finding the Fourth Proportional to 6,732.68, 10,099.85 and 2,291.09

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Solution

The fourth proportional to 6,732.68, 10,099.85 and 2,291.09 is: 3,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.68 : 10,099.85 = 2,291.09 : x
  2. Step 2: Convert to fraction form
    6,732.68/10,099.85 = 2,291.09/x
  3. Step 3: Cross multiply
    6,732.68x = 10,099.85 × 2,291.09
  4. Step 4: Simplify right side
    6,732.68x = 23,139,603.38
  5. Step 5: Solve for x
    x = 23,139,603.38/6,732.68
  6. Step 6: Final answer
    x = 3,436.91

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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.