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Finding the Fourth Proportional to 7,262.65, 10,022.67 and 5,141.96

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Solution

The fourth proportional to 7,262.65, 10,022.67 and 5,141.96 is: 7,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.65 : 10,022.67 = 5,141.96 : x
  2. Step 2: Convert to fraction form
    7,262.65/10,022.67 = 5,141.96/x
  3. Step 3: Cross multiply
    7,262.65x = 10,022.67 × 5,141.96
  4. Step 4: Simplify right side
    7,262.65x = 51,536,168.23
  5. Step 5: Solve for x
    x = 51,536,168.23/7,262.65
  6. Step 6: Final answer
    x = 7,096.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.