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Finding the Fourth Proportional to 7,841.16, 11,766.42 and 4,146.12

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Solution

The fourth proportional to 7,841.16, 11,766.42 and 4,146.12 is: 6,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.16 : 11,766.42 = 4,146.12 : x
  2. Step 2: Convert to fraction form
    7,841.16/11,766.42 = 4,146.12/x
  3. Step 3: Cross multiply
    7,841.16x = 11,766.42 × 4,146.12
  4. Step 4: Simplify right side
    7,841.16x = 48,784,989.29
  5. Step 5: Solve for x
    x = 48,784,989.29/7,841.16
  6. Step 6: Final answer
    x = 6,221.65

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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.