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Finding the Fourth Proportional to 7,860.96, 11,791.60 and 6,293.70

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Solution

The fourth proportional to 7,860.96, 11,791.60 and 6,293.70 is: 9,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.96 : 11,791.60 = 6,293.70 : x
  2. Step 2: Convert to fraction form
    7,860.96/11,791.60 = 6,293.70/x
  3. Step 3: Cross multiply
    7,860.96x = 11,791.60 × 6,293.70
  4. Step 4: Simplify right side
    7,860.96x = 74,212,792.92
  5. Step 5: Solve for x
    x = 74,212,792.92/7,860.96
  6. Step 6: Final answer
    x = 9,440.68

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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.