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Finding the Fourth Proportional to 12,405.72, 17,120 and 6,740.56

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Solution

The fourth proportional to 12,405.72, 17,120 and 6,740.56 is: 9,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.72 : 17,120 = 6,740.56 : x
  2. Step 2: Convert to fraction form
    12,405.72/17,120 = 6,740.56/x
  3. Step 3: Cross multiply
    12,405.72x = 17,120 × 6,740.56
  4. Step 4: Simplify right side
    12,405.72x = 115,398,387.20
  5. Step 5: Solve for x
    x = 115,398,387.20/12,405.72
  6. Step 6: Final answer
    x = 9,302.03

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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.