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Finding the Fourth Proportional to 12,745.93, 17,592.20 and 7,082.63

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Solution

The fourth proportional to 12,745.93, 17,592.20 and 7,082.63 is: 9,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.93 : 17,592.20 = 7,082.63 : x
  2. Step 2: Convert to fraction form
    12,745.93/17,592.20 = 7,082.63/x
  3. Step 3: Cross multiply
    12,745.93x = 17,592.20 × 7,082.63
  4. Step 4: Simplify right side
    12,745.93x = 124,599,043.49
  5. Step 5: Solve for x
    x = 124,599,043.49/12,745.93
  6. Step 6: Final answer
    x = 9,775.59

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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.