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Finding the Fourth Proportional to 11,711.52, 17,567.82 and 6,513.48

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Solution

The fourth proportional to 11,711.52, 17,567.82 and 6,513.48 is: 9,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.52 : 17,567.82 = 6,513.48 : x
  2. Step 2: Convert to fraction form
    11,711.52/17,567.82 = 6,513.48/x
  3. Step 3: Cross multiply
    11,711.52x = 17,567.82 × 6,513.48
  4. Step 4: Simplify right side
    11,711.52x = 114,427,644.21
  5. Step 5: Solve for x
    x = 114,427,644.21/11,711.52
  6. Step 6: Final answer
    x = 9,770.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.