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Finding the Fourth Proportional to 10,935.40, 16,408.52 and 4,361.44

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Solution

The fourth proportional to 10,935.40, 16,408.52 and 4,361.44 is: 6,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.40 : 16,408.52 = 4,361.44 : x
  2. Step 2: Convert to fraction form
    10,935.40/16,408.52 = 4,361.44/x
  3. Step 3: Cross multiply
    10,935.40x = 16,408.52 × 4,361.44
  4. Step 4: Simplify right side
    10,935.40x = 71,564,775.47
  5. Step 5: Solve for x
    x = 71,564,775.47/10,935.40
  6. Step 6: Final answer
    x = 6,544.32

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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.