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Finding the Fourth Proportional to 13,116.67, 18,105.71 and 7,811.37

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Solution

The fourth proportional to 13,116.67, 18,105.71 and 7,811.37 is: 10,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.67 : 18,105.71 = 7,811.37 : x
  2. Step 2: Convert to fraction form
    13,116.67/18,105.71 = 7,811.37/x
  3. Step 3: Cross multiply
    13,116.67x = 18,105.71 × 7,811.37
  4. Step 4: Simplify right side
    13,116.67x = 141,430,360.87
  5. Step 5: Solve for x
    x = 141,430,360.87/13,116.67
  6. Step 6: Final answer
    x = 10,782.49

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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.