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Finding the Fourth Proportional to 13,311.36, 18,370.80 and 7,722

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Solution

The fourth proportional to 13,311.36, 18,370.80 and 7,722 is: 10,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.36 : 18,370.80 = 7,722 : x
  2. Step 2: Convert to fraction form
    13,311.36/18,370.80 = 7,722/x
  3. Step 3: Cross multiply
    13,311.36x = 18,370.80 × 7,722
  4. Step 4: Simplify right side
    13,311.36x = 141,859,317.60
  5. Step 5: Solve for x
    x = 141,859,317.60/13,311.36
  6. Step 6: Final answer
    x = 10,657.01

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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.