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Finding the Fourth Proportional to 12,286.26, 18,416.43 and 5,264.10

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Solution

The fourth proportional to 12,286.26, 18,416.43 and 5,264.10 is: 7,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.26 : 18,416.43 = 5,264.10 : x
  2. Step 2: Convert to fraction form
    12,286.26/18,416.43 = 5,264.10/x
  3. Step 3: Cross multiply
    12,286.26x = 18,416.43 × 5,264.10
  4. Step 4: Simplify right side
    12,286.26x = 96,945,929.16
  5. Step 5: Solve for x
    x = 96,945,929.16/12,286.26
  6. Step 6: Final answer
    x = 7,890.60

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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.