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Finding the Fourth Proportional to 10,012.92, 13,818.27 and 6,238.32

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Solution

The fourth proportional to 10,012.92, 13,818.27 and 6,238.32 is: 8,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.92 : 13,818.27 = 6,238.32 : x
  2. Step 2: Convert to fraction form
    10,012.92/13,818.27 = 6,238.32/x
  3. Step 3: Cross multiply
    10,012.92x = 13,818.27 × 6,238.32
  4. Step 4: Simplify right side
    10,012.92x = 86,202,790.11
  5. Step 5: Solve for x
    x = 86,202,790.11/10,012.92
  6. Step 6: Final answer
    x = 8,609.16

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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.