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Finding the Fourth Proportional to 10,574.27, 15,861.81 and 5,024.78

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Solution

The fourth proportional to 10,574.27, 15,861.81 and 5,024.78 is: 7,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.27 : 15,861.81 = 5,024.78 : x
  2. Step 2: Convert to fraction form
    10,574.27/15,861.81 = 5,024.78/x
  3. Step 3: Cross multiply
    10,574.27x = 15,861.81 × 5,024.78
  4. Step 4: Simplify right side
    10,574.27x = 79,702,105.65
  5. Step 5: Solve for x
    x = 79,702,105.65/10,574.27
  6. Step 6: Final answer
    x = 7,537.36

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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.