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Finding the Fourth Proportional to 7,838.80, 11,760.90 and 3,455.62

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Solution

The fourth proportional to 7,838.80, 11,760.90 and 3,455.62 is: 5,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.80 : 11,760.90 = 3,455.62 : x
  2. Step 2: Convert to fraction form
    7,838.80/11,760.90 = 3,455.62/x
  3. Step 3: Cross multiply
    7,838.80x = 11,760.90 × 3,455.62
  4. Step 4: Simplify right side
    7,838.80x = 40,641,201.26
  5. Step 5: Solve for x
    x = 40,641,201.26/7,838.80
  6. Step 6: Final answer
    x = 5,184.62

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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.