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Finding the Fourth Proportional to 7,841.61, 11,751.68 and 2,906.48

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Solution

The fourth proportional to 7,841.61, 11,751.68 and 2,906.48 is: 4,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.61 : 11,751.68 = 2,906.48 : x
  2. Step 2: Convert to fraction form
    7,841.61/11,751.68 = 2,906.48/x
  3. Step 3: Cross multiply
    7,841.61x = 11,751.68 × 2,906.48
  4. Step 4: Simplify right side
    7,841.61x = 34,156,059.53
  5. Step 5: Solve for x
    x = 34,156,059.53/7,841.61
  6. Step 6: Final answer
    x = 4,355.75

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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.