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Finding the Fourth Proportional to 11,378.90, 15,704.05 and 6,343.94

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Solution

The fourth proportional to 11,378.90, 15,704.05 and 6,343.94 is: 8,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.90 : 15,704.05 = 6,343.94 : x
  2. Step 2: Convert to fraction form
    11,378.90/15,704.05 = 6,343.94/x
  3. Step 3: Cross multiply
    11,378.90x = 15,704.05 × 6,343.94
  4. Step 4: Simplify right side
    11,378.90x = 99,625,535.10
  5. Step 5: Solve for x
    x = 99,625,535.10/11,378.90
  6. Step 6: Final answer
    x = 8,755.29

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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.