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Finding the Fourth Proportional to 7,942.65, 11,910.20 and 4,656.75

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Solution

The fourth proportional to 7,942.65, 11,910.20 and 4,656.75 is: 6,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.65 : 11,910.20 = 4,656.75 : x
  2. Step 2: Convert to fraction form
    7,942.65/11,910.20 = 4,656.75/x
  3. Step 3: Cross multiply
    7,942.65x = 11,910.20 × 4,656.75
  4. Step 4: Simplify right side
    7,942.65x = 55,462,800.57
  5. Step 5: Solve for x
    x = 55,462,800.57/7,942.65
  6. Step 6: Final answer
    x = 6,982.91

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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.