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Finding the Fourth Proportional to 7,575.96, 11,364.66 and 3,194.76

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Solution

The fourth proportional to 7,575.96, 11,364.66 and 3,194.76 is: 4,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.96 : 11,364.66 = 3,194.76 : x
  2. Step 2: Convert to fraction form
    7,575.96/11,364.66 = 3,194.76/x
  3. Step 3: Cross multiply
    7,575.96x = 11,364.66 × 3,194.76
  4. Step 4: Simplify right side
    7,575.96x = 36,307,361.18
  5. Step 5: Solve for x
    x = 36,307,361.18/7,575.96
  6. Step 6: Final answer
    x = 4,792.44

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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.