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Finding the Fourth Proportional to 12,760.43, 17,603.65 and 7,452.09

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Solution

The fourth proportional to 12,760.43, 17,603.65 and 7,452.09 is: 10,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.43 : 17,603.65 = 7,452.09 : x
  2. Step 2: Convert to fraction form
    12,760.43/17,603.65 = 7,452.09/x
  3. Step 3: Cross multiply
    12,760.43x = 17,603.65 × 7,452.09
  4. Step 4: Simplify right side
    12,760.43x = 131,184,059.46
  5. Step 5: Solve for x
    x = 131,184,059.46/12,760.43
  6. Step 6: Final answer
    x = 10,280.54

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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.