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Finding the Fourth Proportional to 6,824.98, 10,221.05 and 4,627.05

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Solution

The fourth proportional to 6,824.98, 10,221.05 and 4,627.05 is: 6,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.98 : 10,221.05 = 4,627.05 : x
  2. Step 2: Convert to fraction form
    6,824.98/10,221.05 = 4,627.05/x
  3. Step 3: Cross multiply
    6,824.98x = 10,221.05 × 4,627.05
  4. Step 4: Simplify right side
    6,824.98x = 47,293,258.30
  5. Step 5: Solve for x
    x = 47,293,258.30/6,824.98
  6. Step 6: Final answer
    x = 6,929.44

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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.