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Finding the Fourth Proportional to 7,845.66, 11,757.96 and 4,143.96

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Solution

The fourth proportional to 7,845.66, 11,757.96 and 4,143.96 is: 6,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.66 : 11,757.96 = 4,143.96 : x
  2. Step 2: Convert to fraction form
    7,845.66/11,757.96 = 4,143.96/x
  3. Step 3: Cross multiply
    7,845.66x = 11,757.96 × 4,143.96
  4. Step 4: Simplify right side
    7,845.66x = 48,724,515.92
  5. Step 5: Solve for x
    x = 48,724,515.92/7,845.66
  6. Step 6: Final answer
    x = 6,210.38

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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.