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Finding the Fourth Proportional to 6,805.60, 10,184.64 and 5,891.92

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Solution

The fourth proportional to 6,805.60, 10,184.64 and 5,891.92 is: 8,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.60 : 10,184.64 = 5,891.92 : x
  2. Step 2: Convert to fraction form
    6,805.60/10,184.64 = 5,891.92/x
  3. Step 3: Cross multiply
    6,805.60x = 10,184.64 × 5,891.92
  4. Step 4: Simplify right side
    6,805.60x = 60,007,084.11
  5. Step 5: Solve for x
    x = 60,007,084.11/6,805.60
  6. Step 6: Final answer
    x = 8,817.31

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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.