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Finding the Fourth Proportional to 11,435.72, 15,780.29 and 6,399.27

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Solution

The fourth proportional to 11,435.72, 15,780.29 and 6,399.27 is: 8,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.72 : 15,780.29 = 6,399.27 : x
  2. Step 2: Convert to fraction form
    11,435.72/15,780.29 = 6,399.27/x
  3. Step 3: Cross multiply
    11,435.72x = 15,780.29 × 6,399.27
  4. Step 4: Simplify right side
    11,435.72x = 100,982,304.39
  5. Step 5: Solve for x
    x = 100,982,304.39/11,435.72
  6. Step 6: Final answer
    x = 8,830.43

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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.