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Finding the Fourth Proportional to 7,659.60, 11,484.72 and 3,274.56

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Solution

The fourth proportional to 7,659.60, 11,484.72 and 3,274.56 is: 4,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.60 : 11,484.72 = 3,274.56 : x
  2. Step 2: Convert to fraction form
    7,659.60/11,484.72 = 3,274.56/x
  3. Step 3: Cross multiply
    7,659.60x = 11,484.72 × 3,274.56
  4. Step 4: Simplify right side
    7,659.60x = 37,607,404.72
  5. Step 5: Solve for x
    x = 37,607,404.72/7,659.60
  6. Step 6: Final answer
    x = 4,909.84

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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.