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Finding the Fourth Proportional to 8,262.86, 11,399.73 and 5,431.74

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Solution

The fourth proportional to 8,262.86, 11,399.73 and 5,431.74 is: 7,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.86 : 11,399.73 = 5,431.74 : x
  2. Step 2: Convert to fraction form
    8,262.86/11,399.73 = 5,431.74/x
  3. Step 3: Cross multiply
    8,262.86x = 11,399.73 × 5,431.74
  4. Step 4: Simplify right side
    8,262.86x = 61,920,369.43
  5. Step 5: Solve for x
    x = 61,920,369.43/8,262.86
  6. Step 6: Final answer
    x = 7,493.82

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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.