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Finding the Fourth Proportional to 11,567.85, 15,963.72 and 6,463.38

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Solution

The fourth proportional to 11,567.85, 15,963.72 and 6,463.38 is: 8,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.85 : 15,963.72 = 6,463.38 : x
  2. Step 2: Convert to fraction form
    11,567.85/15,963.72 = 6,463.38/x
  3. Step 3: Cross multiply
    11,567.85x = 15,963.72 × 6,463.38
  4. Step 4: Simplify right side
    11,567.85x = 103,179,588.57
  5. Step 5: Solve for x
    x = 103,179,588.57/11,567.85
  6. Step 6: Final answer
    x = 8,919.51

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Why These Related Problems?

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