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Finding the Fourth Proportional to 8,289.63, 11,435.82 and 4,930.56

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Solution

The fourth proportional to 8,289.63, 11,435.82 and 4,930.56 is: 6,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.63 : 11,435.82 = 4,930.56 : x
  2. Step 2: Convert to fraction form
    8,289.63/11,435.82 = 4,930.56/x
  3. Step 3: Cross multiply
    8,289.63x = 11,435.82 × 4,930.56
  4. Step 4: Simplify right side
    8,289.63x = 56,384,996.66
  5. Step 5: Solve for x
    x = 56,384,996.66/8,289.63
  6. Step 6: Final answer
    x = 6,801.87

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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.