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Finding the Fourth Proportional to 7,567.97, 11,351.96 and 2,374.25

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Solution

The fourth proportional to 7,567.97, 11,351.96 and 2,374.25 is: 3,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.97 : 11,351.96 = 2,374.25 : x
  2. Step 2: Convert to fraction form
    7,567.97/11,351.96 = 2,374.25/x
  3. Step 3: Cross multiply
    7,567.97x = 11,351.96 × 2,374.25
  4. Step 4: Simplify right side
    7,567.97x = 26,952,391.03
  5. Step 5: Solve for x
    x = 26,952,391.03/7,567.97
  6. Step 6: Final answer
    x = 3,561.38

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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.