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Finding the Fourth Proportional to 7,853.45, 11,773.77 and 4,343.31

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Solution

The fourth proportional to 7,853.45, 11,773.77 and 4,343.31 is: 6,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.45 : 11,773.77 = 4,343.31 : x
  2. Step 2: Convert to fraction form
    7,853.45/11,773.77 = 4,343.31/x
  3. Step 3: Cross multiply
    7,853.45x = 11,773.77 × 4,343.31
  4. Step 4: Simplify right side
    7,853.45x = 51,137,132.98
  5. Step 5: Solve for x
    x = 51,137,132.98/7,853.45
  6. Step 6: Final answer
    x = 6,511.43

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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.