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Finding the Fourth Proportional to 7,930.86, 11,880.42 and 3,774.90

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Solution

The fourth proportional to 7,930.86, 11,880.42 and 3,774.90 is: 5,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.86 : 11,880.42 = 3,774.90 : x
  2. Step 2: Convert to fraction form
    7,930.86/11,880.42 = 3,774.90/x
  3. Step 3: Cross multiply
    7,930.86x = 11,880.42 × 3,774.90
  4. Step 4: Simplify right side
    7,930.86x = 44,847,397.46
  5. Step 5: Solve for x
    x = 44,847,397.46/7,930.86
  6. Step 6: Final answer
    x = 5,654.80

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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.