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Finding the Fourth Proportional to 8,432.31, 11,636.08 and 5,076.21

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Solution

The fourth proportional to 8,432.31, 11,636.08 and 5,076.21 is: 7,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.31 : 11,636.08 = 5,076.21 : x
  2. Step 2: Convert to fraction form
    8,432.31/11,636.08 = 5,076.21/x
  3. Step 3: Cross multiply
    8,432.31x = 11,636.08 × 5,076.21
  4. Step 4: Simplify right side
    8,432.31x = 59,067,172.97
  5. Step 5: Solve for x
    x = 59,067,172.97/8,432.31
  6. Step 6: Final answer
    x = 7,004.86

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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.