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Finding the Fourth Proportional to 8,272.52, 11,416.02 and 4,546.60

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Solution

The fourth proportional to 8,272.52, 11,416.02 and 4,546.60 is: 6,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.52 : 11,416.02 = 4,546.60 : x
  2. Step 2: Convert to fraction form
    8,272.52/11,416.02 = 4,546.60/x
  3. Step 3: Cross multiply
    8,272.52x = 11,416.02 × 4,546.60
  4. Step 4: Simplify right side
    8,272.52x = 51,904,076.53
  5. Step 5: Solve for x
    x = 51,904,076.53/8,272.52
  6. Step 6: Final answer
    x = 6,274.28

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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.