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Finding the Fourth Proportional to 8,523.83, 11,759.57 and 6,284.89

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Solution

The fourth proportional to 8,523.83, 11,759.57 and 6,284.89 is: 8,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.83 : 11,759.57 = 6,284.89 : x
  2. Step 2: Convert to fraction form
    8,523.83/11,759.57 = 6,284.89/x
  3. Step 3: Cross multiply
    8,523.83x = 11,759.57 × 6,284.89
  4. Step 4: Simplify right side
    8,523.83x = 73,907,601.90
  5. Step 5: Solve for x
    x = 73,907,601.90/8,523.83
  6. Step 6: Final answer
    x = 8,670.70

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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.