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Finding the Fourth Proportional to 12,760.55, 17,609.95 and 7,725.70

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Solution

The fourth proportional to 12,760.55, 17,609.95 and 7,725.70 is: 10,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.55 : 17,609.95 = 7,725.70 : x
  2. Step 2: Convert to fraction form
    12,760.55/17,609.95 = 7,725.70/x
  3. Step 3: Cross multiply
    12,760.55x = 17,609.95 × 7,725.70
  4. Step 4: Simplify right side
    12,760.55x = 136,049,190.72
  5. Step 5: Solve for x
    x = 136,049,190.72/12,760.55
  6. Step 6: Final answer
    x = 10,661.70

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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.