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Finding the Fourth Proportional to 11,543.34, 15,912.84 and 8,175.72

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Solution

The fourth proportional to 11,543.34, 15,912.84 and 8,175.72 is: 11,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.34 : 15,912.84 = 8,175.72 : x
  2. Step 2: Convert to fraction form
    11,543.34/15,912.84 = 8,175.72/x
  3. Step 3: Cross multiply
    11,543.34x = 15,912.84 × 8,175.72
  4. Step 4: Simplify right side
    11,543.34x = 130,098,924.24
  5. Step 5: Solve for x
    x = 130,098,924.24/11,543.34
  6. Step 6: Final answer
    x = 11,270.47

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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.