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Finding the Fourth Proportional to 6,855.27, 10,284.64 and 1,924.93

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Solution

The fourth proportional to 6,855.27, 10,284.64 and 1,924.93 is: 2,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.27 : 10,284.64 = 1,924.93 : x
  2. Step 2: Convert to fraction form
    6,855.27/10,284.64 = 1,924.93/x
  3. Step 3: Cross multiply
    6,855.27x = 10,284.64 × 1,924.93
  4. Step 4: Simplify right side
    6,855.27x = 19,797,220.12
  5. Step 5: Solve for x
    x = 19,797,220.12/6,855.27
  6. Step 6: Final answer
    x = 2,887.88

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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.