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Finding the Fourth Proportional to 6,854.93, 10,282.92 and 2,175.21

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Solution

The fourth proportional to 6,854.93, 10,282.92 and 2,175.21 is: 3,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.93 : 10,282.92 = 2,175.21 : x
  2. Step 2: Convert to fraction form
    6,854.93/10,282.92 = 2,175.21/x
  3. Step 3: Cross multiply
    6,854.93x = 10,282.92 × 2,175.21
  4. Step 4: Simplify right side
    6,854.93x = 22,367,510.41
  5. Step 5: Solve for x
    x = 22,367,510.41/6,854.93
  6. Step 6: Final answer
    x = 3,262.98

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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.