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Finding the Fourth Proportional to 12,867.86, 17,757.71 and 7,202.72

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Solution

The fourth proportional to 12,867.86, 17,757.71 and 7,202.72 is: 9,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.86 : 17,757.71 = 7,202.72 : x
  2. Step 2: Convert to fraction form
    12,867.86/17,757.71 = 7,202.72/x
  3. Step 3: Cross multiply
    12,867.86x = 17,757.71 × 7,202.72
  4. Step 4: Simplify right side
    12,867.86x = 127,903,791.67
  5. Step 5: Solve for x
    x = 127,903,791.67/12,867.86
  6. Step 6: Final answer
    x = 9,939.79

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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.