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Finding the Fourth Proportional to 8,272.76, 11,416.49 and 4,546.76

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Solution

The fourth proportional to 8,272.76, 11,416.49 and 4,546.76 is: 6,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.76 : 11,416.49 = 4,546.76 : x
  2. Step 2: Convert to fraction form
    8,272.76/11,416.49 = 4,546.76/x
  3. Step 3: Cross multiply
    8,272.76x = 11,416.49 × 4,546.76
  4. Step 4: Simplify right side
    8,272.76x = 51,907,960.26
  5. Step 5: Solve for x
    x = 51,907,960.26/8,272.76
  6. Step 6: Final answer
    x = 6,274.57

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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.