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Finding the Fourth Proportional to 11,787.85, 16,270.67 and 7,011.15

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Solution

The fourth proportional to 11,787.85, 16,270.67 and 7,011.15 is: 9,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.85 : 16,270.67 = 7,011.15 : x
  2. Step 2: Convert to fraction form
    11,787.85/16,270.67 = 7,011.15/x
  3. Step 3: Cross multiply
    11,787.85x = 16,270.67 × 7,011.15
  4. Step 4: Simplify right side
    11,787.85x = 114,076,107.97
  5. Step 5: Solve for x
    x = 114,076,107.97/11,787.85
  6. Step 6: Final answer
    x = 9,677.43

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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.