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Finding the Fourth Proportional to 12,286.62, 16,958.16 and 7,248.96

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Solution

The fourth proportional to 12,286.62, 16,958.16 and 7,248.96 is: 10,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.62 : 16,958.16 = 7,248.96 : x
  2. Step 2: Convert to fraction form
    12,286.62/16,958.16 = 7,248.96/x
  3. Step 3: Cross multiply
    12,286.62x = 16,958.16 × 7,248.96
  4. Step 4: Simplify right side
    12,286.62x = 122,929,023.51
  5. Step 5: Solve for x
    x = 122,929,023.51/12,286.62
  6. Step 6: Final answer
    x = 10,005.11

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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.