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Finding the Fourth Proportional to 8,543.52, 11,789.74 and 4,766.86

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Solution

The fourth proportional to 8,543.52, 11,789.74 and 4,766.86 is: 6,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.52 : 11,789.74 = 4,766.86 : x
  2. Step 2: Convert to fraction form
    8,543.52/11,789.74 = 4,766.86/x
  3. Step 3: Cross multiply
    8,543.52x = 11,789.74 × 4,766.86
  4. Step 4: Simplify right side
    8,543.52x = 56,200,040.02
  5. Step 5: Solve for x
    x = 56,200,040.02/8,543.52
  6. Step 6: Final answer
    x = 6,578.09

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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.