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Finding the Fourth Proportional to 8,286.84, 11,436.15 and 4,750.74

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Solution

The fourth proportional to 8,286.84, 11,436.15 and 4,750.74 is: 6,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.84 : 11,436.15 = 4,750.74 : x
  2. Step 2: Convert to fraction form
    8,286.84/11,436.15 = 4,750.74/x
  3. Step 3: Cross multiply
    8,286.84x = 11,436.15 × 4,750.74
  4. Step 4: Simplify right side
    8,286.84x = 54,330,175.25
  5. Step 5: Solve for x
    x = 54,330,175.25/8,286.84
  6. Step 6: Final answer
    x = 6,556.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.