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Finding the Fourth Proportional to 13,265.88, 18,314.28 and 7,962

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Solution

The fourth proportional to 13,265.88, 18,314.28 and 7,962 is: 10,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.88 : 18,314.28 = 7,962 : x
  2. Step 2: Convert to fraction form
    13,265.88/18,314.28 = 7,962/x
  3. Step 3: Cross multiply
    13,265.88x = 18,314.28 × 7,962
  4. Step 4: Simplify right side
    13,265.88x = 145,818,297.36
  5. Step 5: Solve for x
    x = 145,818,297.36/13,265.88
  6. Step 6: Final answer
    x = 10,991.98

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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.