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Finding the Fourth Proportional to 11,567.47, 17,351.22 and 6,940.75

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Solution

The fourth proportional to 11,567.47, 17,351.22 and 6,940.75 is: 10,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.47 : 17,351.22 = 6,940.75 : x
  2. Step 2: Convert to fraction form
    11,567.47/17,351.22 = 6,940.75/x
  3. Step 3: Cross multiply
    11,567.47x = 17,351.22 × 6,940.75
  4. Step 4: Simplify right side
    11,567.47x = 120,430,480.22
  5. Step 5: Solve for x
    x = 120,430,480.22/11,567.47
  6. Step 6: Final answer
    x = 10,411.13

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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.