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Finding the Fourth Proportional to 7,849.56, 11,760.50 and 4,143.62

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Solution

The fourth proportional to 7,849.56, 11,760.50 and 4,143.62 is: 6,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.56 : 11,760.50 = 4,143.62 : x
  2. Step 2: Convert to fraction form
    7,849.56/11,760.50 = 4,143.62/x
  3. Step 3: Cross multiply
    7,849.56x = 11,760.50 × 4,143.62
  4. Step 4: Simplify right side
    7,849.56x = 48,731,022.29
  5. Step 5: Solve for x
    x = 48,731,022.29/7,849.56
  6. Step 6: Final answer
    x = 6,208.13

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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.