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Finding the Fourth Proportional to 10,984.50, 16,476.84 and 8,787.78

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Solution

The fourth proportional to 10,984.50, 16,476.84 and 8,787.78 is: 13,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.50 : 16,476.84 = 8,787.78 : x
  2. Step 2: Convert to fraction form
    10,984.50/16,476.84 = 8,787.78/x
  3. Step 3: Cross multiply
    10,984.50x = 16,476.84 × 8,787.78
  4. Step 4: Simplify right side
    10,984.50x = 144,794,845.02
  5. Step 5: Solve for x
    x = 144,794,845.02/10,984.50
  6. Step 6: Final answer
    x = 13,181.74

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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.