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Finding the Fourth Proportional to 8,381.26, 11,562.60 and 5,023

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Solution

The fourth proportional to 8,381.26, 11,562.60 and 5,023 is: 6,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.26 : 11,562.60 = 5,023 : x
  2. Step 2: Convert to fraction form
    8,381.26/11,562.60 = 5,023/x
  3. Step 3: Cross multiply
    8,381.26x = 11,562.60 × 5,023
  4. Step 4: Simplify right side
    8,381.26x = 58,078,939.80
  5. Step 5: Solve for x
    x = 58,078,939.80/8,381.26
  6. Step 6: Final answer
    x = 6,929.62

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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.