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Finding the Fourth Proportional to 10,409.44, 14,361.64 and 6,160.64

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Solution

The fourth proportional to 10,409.44, 14,361.64 and 6,160.64 is: 8,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.44 : 14,361.64 = 6,160.64 : x
  2. Step 2: Convert to fraction form
    10,409.44/14,361.64 = 6,160.64/x
  3. Step 3: Cross multiply
    10,409.44x = 14,361.64 × 6,160.64
  4. Step 4: Simplify right side
    10,409.44x = 88,476,893.85
  5. Step 5: Solve for x
    x = 88,476,893.85/10,409.44
  6. Step 6: Final answer
    x = 8,499.68

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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.