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Finding the Fourth Proportional to 10,689.44, 16,028.16 and 7,361.60

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Solution

The fourth proportional to 10,689.44, 16,028.16 and 7,361.60 is: 11,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.44 : 16,028.16 = 7,361.60 : x
  2. Step 2: Convert to fraction form
    10,689.44/16,028.16 = 7,361.60/x
  3. Step 3: Cross multiply
    10,689.44x = 16,028.16 × 7,361.60
  4. Step 4: Simplify right side
    10,689.44x = 117,992,902.66
  5. Step 5: Solve for x
    x = 117,992,902.66/10,689.44
  6. Step 6: Final answer
    x = 11,038.27

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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.