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Finding the Fourth Proportional to 11,771.76, 17,657.67 and 2,887.13

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Solution

The fourth proportional to 11,771.76, 17,657.67 and 2,887.13 is: 4,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.76 : 17,657.67 = 2,887.13 : x
  2. Step 2: Convert to fraction form
    11,771.76/17,657.67 = 2,887.13/x
  3. Step 3: Cross multiply
    11,771.76x = 17,657.67 × 2,887.13
  4. Step 4: Simplify right side
    11,771.76x = 50,979,988.79
  5. Step 5: Solve for x
    x = 50,979,988.79/11,771.76
  6. Step 6: Final answer
    x = 4,330.70

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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.