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Finding the Fourth Proportional to 6,854.85, 10,282.28 and 4,084.65

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Solution

The fourth proportional to 6,854.85, 10,282.28 and 4,084.65 is: 6,126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.85 : 10,282.28 = 4,084.65 : x
  2. Step 2: Convert to fraction form
    6,854.85/10,282.28 = 4,084.65/x
  3. Step 3: Cross multiply
    6,854.85x = 10,282.28 × 4,084.65
  4. Step 4: Simplify right side
    6,854.85x = 41,999,494.58
  5. Step 5: Solve for x
    x = 41,999,494.58/6,854.85
  6. Step 6: Final answer
    x = 6,126.98

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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.