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Finding the Fourth Proportional to 11,797.64, 16,285.60 and 7,081

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Solution

The fourth proportional to 11,797.64, 16,285.60 and 7,081 is: 9,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.64 : 16,285.60 = 7,081 : x
  2. Step 2: Convert to fraction form
    11,797.64/16,285.60 = 7,081/x
  3. Step 3: Cross multiply
    11,797.64x = 16,285.60 × 7,081
  4. Step 4: Simplify right side
    11,797.64x = 115,318,333.60
  5. Step 5: Solve for x
    x = 115,318,333.60/11,797.64
  6. Step 6: Final answer
    x = 9,774.70

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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.