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Finding the Fourth Proportional to 6,854.72, 10,282.12 and 1,924.38

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Solution

The fourth proportional to 6,854.72, 10,282.12 and 1,924.38 is: 2,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.72 : 10,282.12 = 1,924.38 : x
  2. Step 2: Convert to fraction form
    6,854.72/10,282.12 = 1,924.38/x
  3. Step 3: Cross multiply
    6,854.72x = 10,282.12 × 1,924.38
  4. Step 4: Simplify right side
    6,854.72x = 19,786,706.09
  5. Step 5: Solve for x
    x = 19,786,706.09/6,854.72
  6. Step 6: Final answer
    x = 2,886.58

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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.