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Finding the Fourth Proportional to 11,771.48, 17,657.21 and 4,377.80

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Solution

The fourth proportional to 11,771.48, 17,657.21 and 4,377.80 is: 6,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.48 : 17,657.21 = 4,377.80 : x
  2. Step 2: Convert to fraction form
    11,771.48/17,657.21 = 4,377.80/x
  3. Step 3: Cross multiply
    11,771.48x = 17,657.21 × 4,377.80
  4. Step 4: Simplify right side
    11,771.48x = 77,299,789.03
  5. Step 5: Solve for x
    x = 77,299,789.03/11,771.48
  6. Step 6: Final answer
    x = 6,566.70

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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.