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Finding the Fourth Proportional to 7,189.86, 10,792.08 and 4,842.48

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Solution

The fourth proportional to 7,189.86, 10,792.08 and 4,842.48 is: 7,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.86 : 10,792.08 = 4,842.48 : x
  2. Step 2: Convert to fraction form
    7,189.86/10,792.08 = 4,842.48/x
  3. Step 3: Cross multiply
    7,189.86x = 10,792.08 × 4,842.48
  4. Step 4: Simplify right side
    7,189.86x = 52,260,431.56
  5. Step 5: Solve for x
    x = 52,260,431.56/7,189.86
  6. Step 6: Final answer
    x = 7,268.63

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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.