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Finding the Fourth Proportional to 11,567.71, 15,961.99 and 6,531.31

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Solution

The fourth proportional to 11,567.71, 15,961.99 and 6,531.31 is: 9,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.71 : 15,961.99 = 6,531.31 : x
  2. Step 2: Convert to fraction form
    11,567.71/15,961.99 = 6,531.31/x
  3. Step 3: Cross multiply
    11,567.71x = 15,961.99 × 6,531.31
  4. Step 4: Simplify right side
    11,567.71x = 104,252,704.91
  5. Step 5: Solve for x
    x = 104,252,704.91/11,567.71
  6. Step 6: Final answer
    x = 9,012.39

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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.