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Finding the Fourth Proportional to 7,697.64, 11,546.46 and 1,854.25

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Solution

The fourth proportional to 7,697.64, 11,546.46 and 1,854.25 is: 2,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.64 : 11,546.46 = 1,854.25 : x
  2. Step 2: Convert to fraction form
    7,697.64/11,546.46 = 1,854.25/x
  3. Step 3: Cross multiply
    7,697.64x = 11,546.46 × 1,854.25
  4. Step 4: Simplify right side
    7,697.64x = 21,409,973.14
  5. Step 5: Solve for x
    x = 21,409,973.14/7,697.64
  6. Step 6: Final answer
    x = 2,781.37

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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.