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Finding the Fourth Proportional to 8,272.54, 11,416.22 and 4,495.76

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Solution

The fourth proportional to 8,272.54, 11,416.22 and 4,495.76 is: 6,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.54 : 11,416.22 = 4,495.76 : x
  2. Step 2: Convert to fraction form
    8,272.54/11,416.22 = 4,495.76/x
  3. Step 3: Cross multiply
    8,272.54x = 11,416.22 × 4,495.76
  4. Step 4: Simplify right side
    8,272.54x = 51,324,591.29
  5. Step 5: Solve for x
    x = 51,324,591.29/8,272.54
  6. Step 6: Final answer
    x = 6,204.21

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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.