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Finding the Fourth Proportional to 8,272.50, 11,416.05 and 4,546.42

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Solution

The fourth proportional to 8,272.50, 11,416.05 and 4,546.42 is: 6,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.50 : 11,416.05 = 4,546.42 : x
  2. Step 2: Convert to fraction form
    8,272.50/11,416.05 = 4,546.42/x
  3. Step 3: Cross multiply
    8,272.50x = 11,416.05 × 4,546.42
  4. Step 4: Simplify right side
    8,272.50x = 51,902,158.04
  5. Step 5: Solve for x
    x = 51,902,158.04/8,272.50
  6. Step 6: Final answer
    x = 6,274.06

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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.