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Finding the Fourth Proportional to 12,338.16, 17,021.88 and 7,861.11

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Solution

The fourth proportional to 12,338.16, 17,021.88 and 7,861.11 is: 10,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.16 : 17,021.88 = 7,861.11 : x
  2. Step 2: Convert to fraction form
    12,338.16/17,021.88 = 7,861.11/x
  3. Step 3: Cross multiply
    12,338.16x = 17,021.88 × 7,861.11
  4. Step 4: Simplify right side
    12,338.16x = 133,810,871.09
  5. Step 5: Solve for x
    x = 133,810,871.09/12,338.16
  6. Step 6: Final answer
    x = 10,845.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.