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Finding the Fourth Proportional to 7,817.94, 11,717.64 and 2,884.32

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Solution

The fourth proportional to 7,817.94, 11,717.64 and 2,884.32 is: 4,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.94 : 11,717.64 = 2,884.32 : x
  2. Step 2: Convert to fraction form
    7,817.94/11,717.64 = 2,884.32/x
  3. Step 3: Cross multiply
    7,817.94x = 11,717.64 × 2,884.32
  4. Step 4: Simplify right side
    7,817.94x = 33,797,423.40
  5. Step 5: Solve for x
    x = 33,797,423.40/7,817.94
  6. Step 6: Final answer
    x = 4,323.06

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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.