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Finding the Fourth Proportional to 10,238.35, 15,387.82 and 8,494.67

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Solution

The fourth proportional to 10,238.35, 15,387.82 and 8,494.67 is: 12,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.35 : 15,387.82 = 8,494.67 : x
  2. Step 2: Convert to fraction form
    10,238.35/15,387.82 = 8,494.67/x
  3. Step 3: Cross multiply
    10,238.35x = 15,387.82 × 8,494.67
  4. Step 4: Simplify right side
    10,238.35x = 130,714,452.92
  5. Step 5: Solve for x
    x = 130,714,452.92/10,238.35
  6. Step 6: Final answer
    x = 12,767.14

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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.