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Finding the Fourth Proportional to 12,597.88, 17,383.15 and 7,561

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Solution

The fourth proportional to 12,597.88, 17,383.15 and 7,561 is: 10,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.88 : 17,383.15 = 7,561 : x
  2. Step 2: Convert to fraction form
    12,597.88/17,383.15 = 7,561/x
  3. Step 3: Cross multiply
    12,597.88x = 17,383.15 × 7,561
  4. Step 4: Simplify right side
    12,597.88x = 131,433,997.15
  5. Step 5: Solve for x
    x = 131,433,997.15/12,597.88
  6. Step 6: Final answer
    x = 10,433.03

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