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Finding the Fourth Proportional to 11,567.88, 15,963.82 and 6,851.25

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Solution

The fourth proportional to 11,567.88, 15,963.82 and 6,851.25 is: 9,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.88 : 15,963.82 = 6,851.25 : x
  2. Step 2: Convert to fraction form
    11,567.88/15,963.82 = 6,851.25/x
  3. Step 3: Cross multiply
    11,567.88x = 15,963.82 × 6,851.25
  4. Step 4: Simplify right side
    11,567.88x = 109,372,104.65
  5. Step 5: Solve for x
    x = 109,372,104.65/11,567.88
  6. Step 6: Final answer
    x = 9,454.81

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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.