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Finding the Fourth Proportional to 7,833.18, 11,751.07 and 3,884.62

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Solution

The fourth proportional to 7,833.18, 11,751.07 and 3,884.62 is: 5,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.18 : 11,751.07 = 3,884.62 : x
  2. Step 2: Convert to fraction form
    7,833.18/11,751.07 = 3,884.62/x
  3. Step 3: Cross multiply
    7,833.18x = 11,751.07 × 3,884.62
  4. Step 4: Simplify right side
    7,833.18x = 45,648,441.54
  5. Step 5: Solve for x
    x = 45,648,441.54/7,833.18
  6. Step 6: Final answer
    x = 5,827.57

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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.