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Finding the Fourth Proportional to 6,894.25, 10,333.14 and 2,506.57

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Solution

The fourth proportional to 6,894.25, 10,333.14 and 2,506.57 is: 3,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.25 : 10,333.14 = 2,506.57 : x
  2. Step 2: Convert to fraction form
    6,894.25/10,333.14 = 2,506.57/x
  3. Step 3: Cross multiply
    6,894.25x = 10,333.14 × 2,506.57
  4. Step 4: Simplify right side
    6,894.25x = 25,900,738.73
  5. Step 5: Solve for x
    x = 25,900,738.73/6,894.25
  6. Step 6: Final answer
    x = 3,756.86

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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.