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Finding the Fourth Proportional to 10,174.65, 15,247.42 and 5,722.96

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Solution

The fourth proportional to 10,174.65, 15,247.42 and 5,722.96 is: 8,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.65 : 15,247.42 = 5,722.96 : x
  2. Step 2: Convert to fraction form
    10,174.65/15,247.42 = 5,722.96/x
  3. Step 3: Cross multiply
    10,174.65x = 15,247.42 × 5,722.96
  4. Step 4: Simplify right side
    10,174.65x = 87,260,374.76
  5. Step 5: Solve for x
    x = 87,260,374.76/10,174.65
  6. Step 6: Final answer
    x = 8,576.25

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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.