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Finding the Fourth Proportional to 7,310.65, 10,967.46 and 2,378.97

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Solution

The fourth proportional to 7,310.65, 10,967.46 and 2,378.97 is: 3,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.65 : 10,967.46 = 2,378.97 : x
  2. Step 2: Convert to fraction form
    7,310.65/10,967.46 = 2,378.97/x
  3. Step 3: Cross multiply
    7,310.65x = 10,967.46 × 2,378.97
  4. Step 4: Simplify right side
    7,310.65x = 26,091,208.27
  5. Step 5: Solve for x
    x = 26,091,208.27/7,310.65
  6. Step 6: Final answer
    x = 3,568.93

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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.