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Finding the Fourth Proportional to 10,930.44, 16,396.12 and 6,538.22

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Solution

The fourth proportional to 10,930.44, 16,396.12 and 6,538.22 is: 9,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.44 : 16,396.12 = 6,538.22 : x
  2. Step 2: Convert to fraction form
    10,930.44/16,396.12 = 6,538.22/x
  3. Step 3: Cross multiply
    10,930.44x = 16,396.12 × 6,538.22
  4. Step 4: Simplify right side
    10,930.44x = 107,201,427.38
  5. Step 5: Solve for x
    x = 107,201,427.38/10,930.44
  6. Step 6: Final answer
    x = 9,807.60

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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.