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Finding the Fourth Proportional to 10,361.12, 14,274.24 and 7,211.84

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Solution

The fourth proportional to 10,361.12, 14,274.24 and 7,211.84 is: 9,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.12 : 14,274.24 = 7,211.84 : x
  2. Step 2: Convert to fraction form
    10,361.12/14,274.24 = 7,211.84/x
  3. Step 3: Cross multiply
    10,361.12x = 14,274.24 × 7,211.84
  4. Step 4: Simplify right side
    10,361.12x = 102,943,535.00
  5. Step 5: Solve for x
    x = 102,943,535.00/10,361.12
  6. Step 6: Final answer
    x = 9,935.56

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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.