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Finding the Fourth Proportional to 8,513.72, 12,749.16 and 5,384.24

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Solution

The fourth proportional to 8,513.72, 12,749.16 and 5,384.24 is: 8,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.72 : 12,749.16 = 5,384.24 : x
  2. Step 2: Convert to fraction form
    8,513.72/12,749.16 = 5,384.24/x
  3. Step 3: Cross multiply
    8,513.72x = 12,749.16 × 5,384.24
  4. Step 4: Simplify right side
    8,513.72x = 68,644,537.24
  5. Step 5: Solve for x
    x = 68,644,537.24/8,513.72
  6. Step 6: Final answer
    x = 8,062.81

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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.