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Finding the Fourth Proportional to 7,787.66, 11,680.86 and 2,857.10

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Solution

The fourth proportional to 7,787.66, 11,680.86 and 2,857.10 is: 4,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.66 : 11,680.86 = 2,857.10 : x
  2. Step 2: Convert to fraction form
    7,787.66/11,680.86 = 2,857.10/x
  3. Step 3: Cross multiply
    7,787.66x = 11,680.86 × 2,857.10
  4. Step 4: Simplify right side
    7,787.66x = 33,373,385.11
  5. Step 5: Solve for x
    x = 33,373,385.11/7,787.66
  6. Step 6: Final answer
    x = 4,285.42

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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.