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Finding the Fourth Proportional to 11,706.75, 16,153.40 and 6,671.04

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Solution

The fourth proportional to 11,706.75, 16,153.40 and 6,671.04 is: 9,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.75 : 16,153.40 = 6,671.04 : x
  2. Step 2: Convert to fraction form
    11,706.75/16,153.40 = 6,671.04/x
  3. Step 3: Cross multiply
    11,706.75x = 16,153.40 × 6,671.04
  4. Step 4: Simplify right side
    11,706.75x = 107,759,944.18
  5. Step 5: Solve for x
    x = 107,759,944.18/11,706.75
  6. Step 6: Final answer
    x = 9,204.94

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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.