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Finding the Fourth Proportional to 8,142.84, 11,236.50 and 4,787.82

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Solution

The fourth proportional to 8,142.84, 11,236.50 and 4,787.82 is: 6,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.84 : 11,236.50 = 4,787.82 : x
  2. Step 2: Convert to fraction form
    8,142.84/11,236.50 = 4,787.82/x
  3. Step 3: Cross multiply
    8,142.84x = 11,236.50 × 4,787.82
  4. Step 4: Simplify right side
    8,142.84x = 53,798,339.43
  5. Step 5: Solve for x
    x = 53,798,339.43/8,142.84
  6. Step 6: Final answer
    x = 6,606.83

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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.