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Finding the Fourth Proportional to 11,725, 16,180.56 and 8,743.48

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Solution

The fourth proportional to 11,725, 16,180.56 and 8,743.48 is: 12,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725 : 16,180.56 = 8,743.48 : x
  2. Step 2: Convert to fraction form
    11,725/16,180.56 = 8,743.48/x
  3. Step 3: Cross multiply
    11,725x = 16,180.56 × 8,743.48
  4. Step 4: Simplify right side
    11,725x = 141,474,402.75
  5. Step 5: Solve for x
    x = 141,474,402.75/11,725
  6. Step 6: Final answer
    x = 12,066.05

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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.