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Finding the Fourth Proportional to 8,031.74, 11,084.40 and 4,496.09

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Solution

The fourth proportional to 8,031.74, 11,084.40 and 4,496.09 is: 6,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.74 : 11,084.40 = 4,496.09 : x
  2. Step 2: Convert to fraction form
    8,031.74/11,084.40 = 4,496.09/x
  3. Step 3: Cross multiply
    8,031.74x = 11,084.40 × 4,496.09
  4. Step 4: Simplify right side
    8,031.74x = 49,836,404.57
  5. Step 5: Solve for x
    x = 49,836,404.57/8,031.74
  6. Step 6: Final answer
    x = 6,204.94

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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.