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Finding the Fourth Proportional to 7,697.60, 11,546.38 and 1,854.20

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Solution

The fourth proportional to 7,697.60, 11,546.38 and 1,854.20 is: 2,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.60 : 11,546.38 = 1,854.20 : x
  2. Step 2: Convert to fraction form
    7,697.60/11,546.38 = 1,854.20/x
  3. Step 3: Cross multiply
    7,697.60x = 11,546.38 × 1,854.20
  4. Step 4: Simplify right side
    7,697.60x = 21,409,297.80
  5. Step 5: Solve for x
    x = 21,409,297.80/7,697.60
  6. Step 6: Final answer
    x = 2,781.30

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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.