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Finding the Fourth Proportional to 12,286.56, 16,955.10 and 7,251.12

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Solution

The fourth proportional to 12,286.56, 16,955.10 and 7,251.12 is: 10,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.56 : 16,955.10 = 7,251.12 : x
  2. Step 2: Convert to fraction form
    12,286.56/16,955.10 = 7,251.12/x
  3. Step 3: Cross multiply
    12,286.56x = 16,955.10 × 7,251.12
  4. Step 4: Simplify right side
    12,286.56x = 122,943,464.71
  5. Step 5: Solve for x
    x = 122,943,464.71/12,286.56
  6. Step 6: Final answer
    x = 10,006.34

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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.