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Finding the Fourth Proportional to 7,696.96, 11,543.79 and 2,432.38

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Solution

The fourth proportional to 7,696.96, 11,543.79 and 2,432.38 is: 3,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.96 : 11,543.79 = 2,432.38 : x
  2. Step 2: Convert to fraction form
    7,696.96/11,543.79 = 2,432.38/x
  3. Step 3: Cross multiply
    7,696.96x = 11,543.79 × 2,432.38
  4. Step 4: Simplify right side
    7,696.96x = 28,078,845.94
  5. Step 5: Solve for x
    x = 28,078,845.94/7,696.96
  6. Step 6: Final answer
    x = 3,648.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.