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Finding the Fourth Proportional to 7,539.98, 11,297.49 and 5,343.86

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Solution

The fourth proportional to 7,539.98, 11,297.49 and 5,343.86 is: 8,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.98 : 11,297.49 = 5,343.86 : x
  2. Step 2: Convert to fraction form
    7,539.98/11,297.49 = 5,343.86/x
  3. Step 3: Cross multiply
    7,539.98x = 11,297.49 × 5,343.86
  4. Step 4: Simplify right side
    7,539.98x = 60,372,148.42
  5. Step 5: Solve for x
    x = 60,372,148.42/7,539.98
  6. Step 6: Final answer
    x = 8,006.94

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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.