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Finding the Fourth Proportional to 8,432.94, 11,638.71 and 8,174.82

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Solution

The fourth proportional to 8,432.94, 11,638.71 and 8,174.82 is: 11,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.94 : 11,638.71 = 8,174.82 : x
  2. Step 2: Convert to fraction form
    8,432.94/11,638.71 = 8,174.82/x
  3. Step 3: Cross multiply
    8,432.94x = 11,638.71 × 8,174.82
  4. Step 4: Simplify right side
    8,432.94x = 95,144,359.28
  5. Step 5: Solve for x
    x = 95,144,359.28/8,432.94
  6. Step 6: Final answer
    x = 11,282.47

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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.